1 /* $OpenBSD: ed25519.c,v 1.4 2023/01/15 23:05:32 djm Exp $ */ 2 3 /* 4 * Public Domain, Authors: 5 * - Daniel J. Bernstein 6 * - Niels Duif 7 * - Tanja Lange 8 * - lead: Peter Schwabe 9 * - Bo-Yin Yang 10 */ 11 12 #include <string.h> 13 14 #include "crypto_api.h" 15 16 #define int8 crypto_int8 17 #define uint8 crypto_uint8 18 #define int16 crypto_int16 19 #define uint16 crypto_uint16 20 #define int32 crypto_int32 21 #define uint32 crypto_uint32 22 #define int64 crypto_int64 23 #define uint64 crypto_uint64 24 25 /* from supercop-20221122/crypto_verify/32/ref/verify.c */ 26 27 static int crypto_verify_32(const unsigned char *x,const unsigned char *y) 28 { 29 unsigned int differentbits = 0; 30 #define F(i) differentbits |= x[i] ^ y[i]; 31 F(0) 32 F(1) 33 F(2) 34 F(3) 35 F(4) 36 F(5) 37 F(6) 38 F(7) 39 F(8) 40 F(9) 41 F(10) 42 F(11) 43 F(12) 44 F(13) 45 F(14) 46 F(15) 47 F(16) 48 F(17) 49 F(18) 50 F(19) 51 F(20) 52 F(21) 53 F(22) 54 F(23) 55 F(24) 56 F(25) 57 F(26) 58 F(27) 59 F(28) 60 F(29) 61 F(30) 62 F(31) 63 return (1 & ((differentbits - 1) >> 8)) - 1; 64 } 65 /* from supercop-20221122/crypto_sign/ed25519/ref/fe25519.h */ 66 #ifndef FE25519_H 67 #define FE25519_H 68 69 70 #define fe25519 crypto_sign_ed25519_ref_fe25519 71 #define fe25519_freeze crypto_sign_ed25519_ref_fe25519_freeze 72 #define fe25519_unpack crypto_sign_ed25519_ref_fe25519_unpack 73 #define fe25519_pack crypto_sign_ed25519_ref_fe25519_pack 74 #define fe25519_iszero crypto_sign_ed25519_ref_fe25519_iszero 75 #define fe25519_iseq_vartime crypto_sign_ed25519_ref_fe25519_iseq_vartime 76 #define fe25519_cmov crypto_sign_ed25519_ref_fe25519_cmov 77 #define fe25519_setone crypto_sign_ed25519_ref_fe25519_setone 78 #define fe25519_setzero crypto_sign_ed25519_ref_fe25519_setzero 79 #define fe25519_neg crypto_sign_ed25519_ref_fe25519_neg 80 #define fe25519_getparity crypto_sign_ed25519_ref_fe25519_getparity 81 #define fe25519_add crypto_sign_ed25519_ref_fe25519_add 82 #define fe25519_sub crypto_sign_ed25519_ref_fe25519_sub 83 #define fe25519_mul crypto_sign_ed25519_ref_fe25519_mul 84 #define fe25519_square crypto_sign_ed25519_ref_fe25519_square 85 #define fe25519_invert crypto_sign_ed25519_ref_fe25519_invert 86 #define fe25519_pow2523 crypto_sign_ed25519_ref_fe25519_pow2523 87 88 typedef struct 89 { 90 crypto_uint32 v[32]; 91 } 92 fe25519; 93 94 static void fe25519_freeze(fe25519 *r); 95 96 static void fe25519_unpack(fe25519 *r, const unsigned char x[32]); 97 98 static void fe25519_pack(unsigned char r[32], const fe25519 *x); 99 100 static int fe25519_iszero(const fe25519 *x); 101 102 static int fe25519_iseq_vartime(const fe25519 *x, const fe25519 *y); 103 104 static void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b); 105 106 static void fe25519_setone(fe25519 *r); 107 108 static void fe25519_setzero(fe25519 *r); 109 110 static void fe25519_neg(fe25519 *r, const fe25519 *x); 111 112 unsigned char fe25519_getparity(const fe25519 *x); 113 114 static void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y); 115 116 static void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y); 117 118 static void fe25519_mul(fe25519 *r, const fe25519 *x, const fe25519 *y); 119 120 static void fe25519_square(fe25519 *r, const fe25519 *x); 121 122 static void fe25519_invert(fe25519 *r, const fe25519 *x); 123 124 static void fe25519_pow2523(fe25519 *r, const fe25519 *x); 125 126 #endif 127 /* from supercop-20221122/crypto_sign/ed25519/ref/fe25519.c */ 128 #define WINDOWSIZE 1 /* Should be 1,2, or 4 */ 129 #define WINDOWMASK ((1<<WINDOWSIZE)-1) 130 131 132 static crypto_uint32 fe25519_equal(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */ 133 { 134 crypto_uint32 x = a ^ b; /* 0: yes; 1..65535: no */ 135 x -= 1; /* 4294967295: yes; 0..65534: no */ 136 x >>= 31; /* 1: yes; 0: no */ 137 return x; 138 } 139 140 static crypto_uint32 ge(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */ 141 { 142 unsigned int x = a; 143 x -= (unsigned int) b; /* 0..65535: yes; 4294901761..4294967295: no */ 144 x >>= 31; /* 0: yes; 1: no */ 145 x ^= 1; /* 1: yes; 0: no */ 146 return x; 147 } 148 149 static crypto_uint32 times19(crypto_uint32 a) 150 { 151 return (a << 4) + (a << 1) + a; 152 } 153 154 static crypto_uint32 times38(crypto_uint32 a) 155 { 156 return (a << 5) + (a << 2) + (a << 1); 157 } 158 159 static void fe25519_reduce_add_sub(fe25519 *r) 160 { 161 crypto_uint32 t; 162 int i,rep; 163 164 for(rep=0;rep<4;rep++) 165 { 166 t = r->v[31] >> 7; 167 r->v[31] &= 127; 168 t = times19(t); 169 r->v[0] += t; 170 for(i=0;i<31;i++) 171 { 172 t = r->v[i] >> 8; 173 r->v[i+1] += t; 174 r->v[i] &= 255; 175 } 176 } 177 } 178 179 static void reduce_mul(fe25519 *r) 180 { 181 crypto_uint32 t; 182 int i,rep; 183 184 for(rep=0;rep<2;rep++) 185 { 186 t = r->v[31] >> 7; 187 r->v[31] &= 127; 188 t = times19(t); 189 r->v[0] += t; 190 for(i=0;i<31;i++) 191 { 192 t = r->v[i] >> 8; 193 r->v[i+1] += t; 194 r->v[i] &= 255; 195 } 196 } 197 } 198 199 /* reduction modulo 2^255-19 */ 200 static void fe25519_freeze(fe25519 *r) 201 { 202 int i; 203 crypto_uint32 m = fe25519_equal(r->v[31],127); 204 for(i=30;i>0;i--) 205 m &= fe25519_equal(r->v[i],255); 206 m &= ge(r->v[0],237); 207 208 m = -m; 209 210 r->v[31] -= m&127; 211 for(i=30;i>0;i--) 212 r->v[i] -= m&255; 213 r->v[0] -= m&237; 214 } 215 216 static void fe25519_unpack(fe25519 *r, const unsigned char x[32]) 217 { 218 int i; 219 for(i=0;i<32;i++) r->v[i] = x[i]; 220 r->v[31] &= 127; 221 } 222 223 /* Assumes input x being reduced below 2^255 */ 224 static void fe25519_pack(unsigned char r[32], const fe25519 *x) 225 { 226 int i; 227 fe25519 y = *x; 228 fe25519_freeze(&y); 229 for(i=0;i<32;i++) 230 r[i] = y.v[i]; 231 } 232 233 static int fe25519_iszero(const fe25519 *x) 234 { 235 int i; 236 int r; 237 fe25519 t = *x; 238 fe25519_freeze(&t); 239 r = fe25519_equal(t.v[0],0); 240 for(i=1;i<32;i++) 241 r &= fe25519_equal(t.v[i],0); 242 return r; 243 } 244 245 static int fe25519_iseq_vartime(const fe25519 *x, const fe25519 *y) 246 { 247 int i; 248 fe25519 t1 = *x; 249 fe25519 t2 = *y; 250 fe25519_freeze(&t1); 251 fe25519_freeze(&t2); 252 for(i=0;i<32;i++) 253 if(t1.v[i] != t2.v[i]) return 0; 254 return 1; 255 } 256 257 static void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b) 258 { 259 int i; 260 crypto_uint32 mask = b; 261 mask = -mask; 262 for(i=0;i<32;i++) r->v[i] ^= mask & (x->v[i] ^ r->v[i]); 263 } 264 265 unsigned char fe25519_getparity(const fe25519 *x) 266 { 267 fe25519 t = *x; 268 fe25519_freeze(&t); 269 return t.v[0] & 1; 270 } 271 272 static void fe25519_setone(fe25519 *r) 273 { 274 int i; 275 r->v[0] = 1; 276 for(i=1;i<32;i++) r->v[i]=0; 277 } 278 279 static void fe25519_setzero(fe25519 *r) 280 { 281 int i; 282 for(i=0;i<32;i++) r->v[i]=0; 283 } 284 285 static void fe25519_neg(fe25519 *r, const fe25519 *x) 286 { 287 fe25519 t; 288 int i; 289 for(i=0;i<32;i++) t.v[i]=x->v[i]; 290 fe25519_setzero(r); 291 fe25519_sub(r, r, &t); 292 } 293 294 static void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y) 295 { 296 int i; 297 for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i]; 298 fe25519_reduce_add_sub(r); 299 } 300 301 static void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y) 302 { 303 int i; 304 crypto_uint32 t[32]; 305 t[0] = x->v[0] + 0x1da; 306 t[31] = x->v[31] + 0xfe; 307 for(i=1;i<31;i++) t[i] = x->v[i] + 0x1fe; 308 for(i=0;i<32;i++) r->v[i] = t[i] - y->v[i]; 309 fe25519_reduce_add_sub(r); 310 } 311 312 static void fe25519_mul(fe25519 *r, const fe25519 *x, const fe25519 *y) 313 { 314 int i,j; 315 crypto_uint32 t[63]; 316 for(i=0;i<63;i++)t[i] = 0; 317 318 for(i=0;i<32;i++) 319 for(j=0;j<32;j++) 320 t[i+j] += x->v[i] * y->v[j]; 321 322 for(i=32;i<63;i++) 323 r->v[i-32] = t[i-32] + times38(t[i]); 324 r->v[31] = t[31]; /* result now in r[0]...r[31] */ 325 326 reduce_mul(r); 327 } 328 329 static void fe25519_square(fe25519 *r, const fe25519 *x) 330 { 331 fe25519_mul(r, x, x); 332 } 333 334 static void fe25519_invert(fe25519 *r, const fe25519 *x) 335 { 336 fe25519 z2; 337 fe25519 z9; 338 fe25519 z11; 339 fe25519 z2_5_0; 340 fe25519 z2_10_0; 341 fe25519 z2_20_0; 342 fe25519 z2_50_0; 343 fe25519 z2_100_0; 344 fe25519 t0; 345 fe25519 t1; 346 int i; 347 348 /* 2 */ fe25519_square(&z2,x); 349 /* 4 */ fe25519_square(&t1,&z2); 350 /* 8 */ fe25519_square(&t0,&t1); 351 /* 9 */ fe25519_mul(&z9,&t0,x); 352 /* 11 */ fe25519_mul(&z11,&z9,&z2); 353 /* 22 */ fe25519_square(&t0,&z11); 354 /* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0,&t0,&z9); 355 356 /* 2^6 - 2^1 */ fe25519_square(&t0,&z2_5_0); 357 /* 2^7 - 2^2 */ fe25519_square(&t1,&t0); 358 /* 2^8 - 2^3 */ fe25519_square(&t0,&t1); 359 /* 2^9 - 2^4 */ fe25519_square(&t1,&t0); 360 /* 2^10 - 2^5 */ fe25519_square(&t0,&t1); 361 /* 2^10 - 2^0 */ fe25519_mul(&z2_10_0,&t0,&z2_5_0); 362 363 /* 2^11 - 2^1 */ fe25519_square(&t0,&z2_10_0); 364 /* 2^12 - 2^2 */ fe25519_square(&t1,&t0); 365 /* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); } 366 /* 2^20 - 2^0 */ fe25519_mul(&z2_20_0,&t1,&z2_10_0); 367 368 /* 2^21 - 2^1 */ fe25519_square(&t0,&z2_20_0); 369 /* 2^22 - 2^2 */ fe25519_square(&t1,&t0); 370 /* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); } 371 /* 2^40 - 2^0 */ fe25519_mul(&t0,&t1,&z2_20_0); 372 373 /* 2^41 - 2^1 */ fe25519_square(&t1,&t0); 374 /* 2^42 - 2^2 */ fe25519_square(&t0,&t1); 375 /* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { fe25519_square(&t1,&t0); fe25519_square(&t0,&t1); } 376 /* 2^50 - 2^0 */ fe25519_mul(&z2_50_0,&t0,&z2_10_0); 377 378 /* 2^51 - 2^1 */ fe25519_square(&t0,&z2_50_0); 379 /* 2^52 - 2^2 */ fe25519_square(&t1,&t0); 380 /* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); } 381 /* 2^100 - 2^0 */ fe25519_mul(&z2_100_0,&t1,&z2_50_0); 382 383 /* 2^101 - 2^1 */ fe25519_square(&t1,&z2_100_0); 384 /* 2^102 - 2^2 */ fe25519_square(&t0,&t1); 385 /* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { fe25519_square(&t1,&t0); fe25519_square(&t0,&t1); } 386 /* 2^200 - 2^0 */ fe25519_mul(&t1,&t0,&z2_100_0); 387 388 /* 2^201 - 2^1 */ fe25519_square(&t0,&t1); 389 /* 2^202 - 2^2 */ fe25519_square(&t1,&t0); 390 /* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); } 391 /* 2^250 - 2^0 */ fe25519_mul(&t0,&t1,&z2_50_0); 392 393 /* 2^251 - 2^1 */ fe25519_square(&t1,&t0); 394 /* 2^252 - 2^2 */ fe25519_square(&t0,&t1); 395 /* 2^253 - 2^3 */ fe25519_square(&t1,&t0); 396 /* 2^254 - 2^4 */ fe25519_square(&t0,&t1); 397 /* 2^255 - 2^5 */ fe25519_square(&t1,&t0); 398 /* 2^255 - 21 */ fe25519_mul(r,&t1,&z11); 399 } 400 401 static void fe25519_pow2523(fe25519 *r, const fe25519 *x) 402 { 403 fe25519 z2; 404 fe25519 z9; 405 fe25519 z11; 406 fe25519 z2_5_0; 407 fe25519 z2_10_0; 408 fe25519 z2_20_0; 409 fe25519 z2_50_0; 410 fe25519 z2_100_0; 411 fe25519 t; 412 int i; 413 414 /* 2 */ fe25519_square(&z2,x); 415 /* 4 */ fe25519_square(&t,&z2); 416 /* 8 */ fe25519_square(&t,&t); 417 /* 9 */ fe25519_mul(&z9,&t,x); 418 /* 11 */ fe25519_mul(&z11,&z9,&z2); 419 /* 22 */ fe25519_square(&t,&z11); 420 /* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0,&t,&z9); 421 422 /* 2^6 - 2^1 */ fe25519_square(&t,&z2_5_0); 423 /* 2^10 - 2^5 */ for (i = 1;i < 5;i++) { fe25519_square(&t,&t); } 424 /* 2^10 - 2^0 */ fe25519_mul(&z2_10_0,&t,&z2_5_0); 425 426 /* 2^11 - 2^1 */ fe25519_square(&t,&z2_10_0); 427 /* 2^20 - 2^10 */ for (i = 1;i < 10;i++) { fe25519_square(&t,&t); } 428 /* 2^20 - 2^0 */ fe25519_mul(&z2_20_0,&t,&z2_10_0); 429 430 /* 2^21 - 2^1 */ fe25519_square(&t,&z2_20_0); 431 /* 2^40 - 2^20 */ for (i = 1;i < 20;i++) { fe25519_square(&t,&t); } 432 /* 2^40 - 2^0 */ fe25519_mul(&t,&t,&z2_20_0); 433 434 /* 2^41 - 2^1 */ fe25519_square(&t,&t); 435 /* 2^50 - 2^10 */ for (i = 1;i < 10;i++) { fe25519_square(&t,&t); } 436 /* 2^50 - 2^0 */ fe25519_mul(&z2_50_0,&t,&z2_10_0); 437 438 /* 2^51 - 2^1 */ fe25519_square(&t,&z2_50_0); 439 /* 2^100 - 2^50 */ for (i = 1;i < 50;i++) { fe25519_square(&t,&t); } 440 /* 2^100 - 2^0 */ fe25519_mul(&z2_100_0,&t,&z2_50_0); 441 442 /* 2^101 - 2^1 */ fe25519_square(&t,&z2_100_0); 443 /* 2^200 - 2^100 */ for (i = 1;i < 100;i++) { fe25519_square(&t,&t); } 444 /* 2^200 - 2^0 */ fe25519_mul(&t,&t,&z2_100_0); 445 446 /* 2^201 - 2^1 */ fe25519_square(&t,&t); 447 /* 2^250 - 2^50 */ for (i = 1;i < 50;i++) { fe25519_square(&t,&t); } 448 /* 2^250 - 2^0 */ fe25519_mul(&t,&t,&z2_50_0); 449 450 /* 2^251 - 2^1 */ fe25519_square(&t,&t); 451 /* 2^252 - 2^2 */ fe25519_square(&t,&t); 452 /* 2^252 - 3 */ fe25519_mul(r,&t,x); 453 } 454 /* from supercop-20221122/crypto_sign/ed25519/ref/sc25519.h */ 455 #ifndef SC25519_H 456 #define SC25519_H 457 458 459 #define sc25519 crypto_sign_ed25519_ref_sc25519 460 #define shortsc25519 crypto_sign_ed25519_ref_shortsc25519 461 #define sc25519_from32bytes crypto_sign_ed25519_ref_sc25519_from32bytes 462 #define sc25519_from64bytes crypto_sign_ed25519_ref_sc25519_from64bytes 463 #define sc25519_to32bytes crypto_sign_ed25519_ref_sc25519_to32bytes 464 #define sc25519_add crypto_sign_ed25519_ref_sc25519_add 465 #define sc25519_mul crypto_sign_ed25519_ref_sc25519_mul 466 #define sc25519_window3 crypto_sign_ed25519_ref_sc25519_window3 467 #define sc25519_2interleave2 crypto_sign_ed25519_ref_sc25519_2interleave2 468 469 typedef struct 470 { 471 crypto_uint32 v[32]; 472 } 473 sc25519; 474 475 typedef struct 476 { 477 crypto_uint32 v[16]; 478 } 479 shortsc25519; 480 481 static void sc25519_from32bytes(sc25519 *r, const unsigned char x[32]); 482 483 484 static void sc25519_from64bytes(sc25519 *r, const unsigned char x[64]); 485 486 487 static void sc25519_to32bytes(unsigned char r[32], const sc25519 *x); 488 489 490 491 492 static void sc25519_add(sc25519 *r, const sc25519 *x, const sc25519 *y); 493 494 495 static void sc25519_mul(sc25519 *r, const sc25519 *x, const sc25519 *y); 496 497 498 /* Convert s into a representation of the form \sum_{i=0}^{84}r[i]2^3 499 * with r[i] in {-4,...,3} 500 */ 501 static void sc25519_window3(signed char r[85], const sc25519 *s); 502 503 /* Convert s into a representation of the form \sum_{i=0}^{50}r[i]2^5 504 * with r[i] in {-16,...,15} 505 */ 506 507 static void sc25519_2interleave2(unsigned char r[127], const sc25519 *s1, const sc25519 *s2); 508 509 #endif 510 /* from supercop-20221122/crypto_sign/ed25519/ref/sc25519.c */ 511 512 /*Arithmetic modulo the group order m = 2^252 + 27742317777372353535851937790883648493 = 7237005577332262213973186563042994240857116359379907606001950938285454250989 */ 513 514 static const crypto_uint32 sc25519_m[32] = {0xED, 0xD3, 0xF5, 0x5C, 0x1A, 0x63, 0x12, 0x58, 0xD6, 0x9C, 0xF7, 0xA2, 0xDE, 0xF9, 0xDE, 0x14, 515 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10}; 516 517 static const crypto_uint32 sc25519_mu[33] = {0x1B, 0x13, 0x2C, 0x0A, 0xA3, 0xE5, 0x9C, 0xED, 0xA7, 0x29, 0x63, 0x08, 0x5D, 0x21, 0x06, 0x21, 518 0xEB, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0F}; 519 520 static crypto_uint32 lt(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */ 521 { 522 unsigned int x = a; 523 x -= (unsigned int) b; /* 0..65535: no; 4294901761..4294967295: yes */ 524 x >>= 31; /* 0: no; 1: yes */ 525 return x; 526 } 527 528 /* Reduce coefficients of r before calling sc25519_reduce_add_sub */ 529 static void sc25519_reduce_add_sub(sc25519 *r) 530 { 531 crypto_uint32 pb = 0; 532 crypto_uint32 b; 533 crypto_uint32 mask; 534 int i; 535 unsigned char t[32]; 536 537 for(i=0;i<32;i++) 538 { 539 pb += sc25519_m[i]; 540 b = lt(r->v[i],pb); 541 t[i] = r->v[i]-pb+(b<<8); 542 pb = b; 543 } 544 mask = b - 1; 545 for(i=0;i<32;i++) 546 r->v[i] ^= mask & (r->v[i] ^ t[i]); 547 } 548 549 /* Reduce coefficients of x before calling barrett_reduce */ 550 static void barrett_reduce(sc25519 *r, const crypto_uint32 x[64]) 551 { 552 /* See HAC, Alg. 14.42 */ 553 int i,j; 554 crypto_uint32 q2[66]; 555 crypto_uint32 *q3 = q2 + 33; 556 crypto_uint32 r1[33]; 557 crypto_uint32 r2[33]; 558 crypto_uint32 carry; 559 crypto_uint32 pb = 0; 560 crypto_uint32 b; 561 562 for (i = 0;i < 66;++i) q2[i] = 0; 563 for (i = 0;i < 33;++i) r2[i] = 0; 564 565 for(i=0;i<33;i++) 566 for(j=0;j<33;j++) 567 if(i+j >= 31) q2[i+j] += sc25519_mu[i]*x[j+31]; 568 carry = q2[31] >> 8; 569 q2[32] += carry; 570 carry = q2[32] >> 8; 571 q2[33] += carry; 572 573 for(i=0;i<33;i++)r1[i] = x[i]; 574 for(i=0;i<32;i++) 575 for(j=0;j<33;j++) 576 if(i+j < 33) r2[i+j] += sc25519_m[i]*q3[j]; 577 578 for(i=0;i<32;i++) 579 { 580 carry = r2[i] >> 8; 581 r2[i+1] += carry; 582 r2[i] &= 0xff; 583 } 584 585 for(i=0;i<32;i++) 586 { 587 pb += r2[i]; 588 b = lt(r1[i],pb); 589 r->v[i] = r1[i]-pb+(b<<8); 590 pb = b; 591 } 592 593 /* XXX: Can it really happen that r<0?, See HAC, Alg 14.42, Step 3 594 * If so: Handle it here! 595 */ 596 597 sc25519_reduce_add_sub(r); 598 sc25519_reduce_add_sub(r); 599 } 600 601 static void sc25519_from32bytes(sc25519 *r, const unsigned char x[32]) 602 { 603 int i; 604 crypto_uint32 t[64]; 605 for(i=0;i<32;i++) t[i] = x[i]; 606 for(i=32;i<64;++i) t[i] = 0; 607 barrett_reduce(r, t); 608 } 609 610 611 static void sc25519_from64bytes(sc25519 *r, const unsigned char x[64]) 612 { 613 int i; 614 crypto_uint32 t[64]; 615 for(i=0;i<64;i++) t[i] = x[i]; 616 barrett_reduce(r, t); 617 } 618 619 620 static void sc25519_to32bytes(unsigned char r[32], const sc25519 *x) 621 { 622 int i; 623 for(i=0;i<32;i++) r[i] = x->v[i]; 624 } 625 626 627 628 629 static void sc25519_add(sc25519 *r, const sc25519 *x, const sc25519 *y) 630 { 631 int i, carry; 632 for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i]; 633 for(i=0;i<31;i++) 634 { 635 carry = r->v[i] >> 8; 636 r->v[i+1] += carry; 637 r->v[i] &= 0xff; 638 } 639 sc25519_reduce_add_sub(r); 640 } 641 642 643 static void sc25519_mul(sc25519 *r, const sc25519 *x, const sc25519 *y) 644 { 645 int i,j,carry; 646 crypto_uint32 t[64]; 647 for(i=0;i<64;i++)t[i] = 0; 648 649 for(i=0;i<32;i++) 650 for(j=0;j<32;j++) 651 t[i+j] += x->v[i] * y->v[j]; 652 653 /* Reduce coefficients */ 654 for(i=0;i<63;i++) 655 { 656 carry = t[i] >> 8; 657 t[i+1] += carry; 658 t[i] &= 0xff; 659 } 660 661 barrett_reduce(r, t); 662 } 663 664 665 static void sc25519_window3(signed char r[85], const sc25519 *s) 666 { 667 char carry; 668 int i; 669 for(i=0;i<10;i++) 670 { 671 r[8*i+0] = s->v[3*i+0] & 7; 672 r[8*i+1] = (s->v[3*i+0] >> 3) & 7; 673 r[8*i+2] = (s->v[3*i+0] >> 6) & 7; 674 r[8*i+2] ^= (s->v[3*i+1] << 2) & 7; 675 r[8*i+3] = (s->v[3*i+1] >> 1) & 7; 676 r[8*i+4] = (s->v[3*i+1] >> 4) & 7; 677 r[8*i+5] = (s->v[3*i+1] >> 7) & 7; 678 r[8*i+5] ^= (s->v[3*i+2] << 1) & 7; 679 r[8*i+6] = (s->v[3*i+2] >> 2) & 7; 680 r[8*i+7] = (s->v[3*i+2] >> 5) & 7; 681 } 682 r[8*i+0] = s->v[3*i+0] & 7; 683 r[8*i+1] = (s->v[3*i+0] >> 3) & 7; 684 r[8*i+2] = (s->v[3*i+0] >> 6) & 7; 685 r[8*i+2] ^= (s->v[3*i+1] << 2) & 7; 686 r[8*i+3] = (s->v[3*i+1] >> 1) & 7; 687 r[8*i+4] = (s->v[3*i+1] >> 4) & 7; 688 689 /* Making it signed */ 690 carry = 0; 691 for(i=0;i<84;i++) 692 { 693 r[i] += carry; 694 r[i+1] += r[i] >> 3; 695 r[i] &= 7; 696 carry = r[i] >> 2; 697 r[i] -= carry<<3; 698 } 699 r[84] += carry; 700 } 701 702 703 static void sc25519_2interleave2(unsigned char r[127], const sc25519 *s1, const sc25519 *s2) 704 { 705 int i; 706 for(i=0;i<31;i++) 707 { 708 r[4*i] = ( s1->v[i] & 3) ^ (( s2->v[i] & 3) << 2); 709 r[4*i+1] = ((s1->v[i] >> 2) & 3) ^ (((s2->v[i] >> 2) & 3) << 2); 710 r[4*i+2] = ((s1->v[i] >> 4) & 3) ^ (((s2->v[i] >> 4) & 3) << 2); 711 r[4*i+3] = ((s1->v[i] >> 6) & 3) ^ (((s2->v[i] >> 6) & 3) << 2); 712 } 713 r[124] = ( s1->v[31] & 3) ^ (( s2->v[31] & 3) << 2); 714 r[125] = ((s1->v[31] >> 2) & 3) ^ (((s2->v[31] >> 2) & 3) << 2); 715 r[126] = ((s1->v[31] >> 4) & 3) ^ (((s2->v[31] >> 4) & 3) << 2); 716 } 717 /* from supercop-20221122/crypto_sign/ed25519/ref/ge25519.h */ 718 #ifndef GE25519_H 719 #define GE25519_H 720 721 722 #define ge25519 crypto_sign_ed25519_ref_ge25519 723 #define ge25519_base crypto_sign_ed25519_ref_ge25519_base 724 #define ge25519_unpackneg_vartime crypto_sign_ed25519_ref_unpackneg_vartime 725 #define ge25519_pack crypto_sign_ed25519_ref_pack 726 #define ge25519_isneutral_vartime crypto_sign_ed25519_ref_isneutral_vartime 727 #define ge25519_double_scalarmult_vartime crypto_sign_ed25519_ref_double_scalarmult_vartime 728 #define ge25519_scalarmult_base crypto_sign_ed25519_ref_scalarmult_base 729 730 typedef struct 731 { 732 fe25519 x; 733 fe25519 y; 734 fe25519 z; 735 fe25519 t; 736 } ge25519; 737 738 const ge25519 ge25519_base; 739 740 int ge25519_unpackneg_vartime(ge25519 *r, const unsigned char p[32]); 741 742 static void ge25519_pack(unsigned char r[32], const ge25519 *p); 743 744 int ge25519_isneutral_vartime(const ge25519 *p); 745 746 static void ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const sc25519 *s1, const ge25519 *p2, const sc25519 *s2); 747 748 static void ge25519_scalarmult_base(ge25519 *r, const sc25519 *s); 749 750 #endif 751 /* from supercop-20221122/crypto_sign/ed25519/ref/ge25519.c */ 752 753 /* 754 * Arithmetic on the twisted Edwards curve -x^2 + y^2 = 1 + dx^2y^2 755 * with d = -(121665/121666) = 37095705934669439343138083508754565189542113879843219016388785533085940283555 756 * Base point: (15112221349535400772501151409588531511454012693041857206046113283949847762202,46316835694926478169428394003475163141307993866256225615783033603165251855960); 757 */ 758 759 /* d */ 760 static const fe25519 ge25519_ecd = {{0xA3, 0x78, 0x59, 0x13, 0xCA, 0x4D, 0xEB, 0x75, 0xAB, 0xD8, 0x41, 0x41, 0x4D, 0x0A, 0x70, 0x00, 761 0x98, 0xE8, 0x79, 0x77, 0x79, 0x40, 0xC7, 0x8C, 0x73, 0xFE, 0x6F, 0x2B, 0xEE, 0x6C, 0x03, 0x52}}; 762 /* 2*d */ 763 static const fe25519 ge25519_ec2d = {{0x59, 0xF1, 0xB2, 0x26, 0x94, 0x9B, 0xD6, 0xEB, 0x56, 0xB1, 0x83, 0x82, 0x9A, 0x14, 0xE0, 0x00, 764 0x30, 0xD1, 0xF3, 0xEE, 0xF2, 0x80, 0x8E, 0x19, 0xE7, 0xFC, 0xDF, 0x56, 0xDC, 0xD9, 0x06, 0x24}}; 765 /* sqrt(-1) */ 766 static const fe25519 ge25519_sqrtm1 = {{0xB0, 0xA0, 0x0E, 0x4A, 0x27, 0x1B, 0xEE, 0xC4, 0x78, 0xE4, 0x2F, 0xAD, 0x06, 0x18, 0x43, 0x2F, 767 0xA7, 0xD7, 0xFB, 0x3D, 0x99, 0x00, 0x4D, 0x2B, 0x0B, 0xDF, 0xC1, 0x4F, 0x80, 0x24, 0x83, 0x2B}}; 768 769 #define ge25519_p3 ge25519 770 771 typedef struct 772 { 773 fe25519 x; 774 fe25519 z; 775 fe25519 y; 776 fe25519 t; 777 } ge25519_p1p1; 778 779 typedef struct 780 { 781 fe25519 x; 782 fe25519 y; 783 fe25519 z; 784 } ge25519_p2; 785 786 typedef struct 787 { 788 fe25519 x; 789 fe25519 y; 790 } ge25519_aff; 791 792 793 /* Packed coordinates of the base point */ 794 const ge25519 ge25519_base = {{{0x1A, 0xD5, 0x25, 0x8F, 0x60, 0x2D, 0x56, 0xC9, 0xB2, 0xA7, 0x25, 0x95, 0x60, 0xC7, 0x2C, 0x69, 795 0x5C, 0xDC, 0xD6, 0xFD, 0x31, 0xE2, 0xA4, 0xC0, 0xFE, 0x53, 0x6E, 0xCD, 0xD3, 0x36, 0x69, 0x21}}, 796 {{0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 797 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66}}, 798 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 799 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 800 {{0xA3, 0xDD, 0xB7, 0xA5, 0xB3, 0x8A, 0xDE, 0x6D, 0xF5, 0x52, 0x51, 0x77, 0x80, 0x9F, 0xF0, 0x20, 801 0x7D, 0xE3, 0xAB, 0x64, 0x8E, 0x4E, 0xEA, 0x66, 0x65, 0x76, 0x8B, 0xD7, 0x0F, 0x5F, 0x87, 0x67}}}; 802 803 /* Multiples of the base point in affine representation */ 804 static const ge25519_aff ge25519_base_multiples_affine[425] = { 805 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 806 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 807 {{{0x1a, 0xd5, 0x25, 0x8f, 0x60, 0x2d, 0x56, 0xc9, 0xb2, 0xa7, 0x25, 0x95, 0x60, 0xc7, 0x2c, 0x69, 0x5c, 0xdc, 0xd6, 0xfd, 0x31, 0xe2, 0xa4, 0xc0, 0xfe, 0x53, 0x6e, 0xcd, 0xd3, 0x36, 0x69, 0x21}} , 808 {{0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66}}}, 809 {{{0x0e, 0xce, 0x43, 0x28, 0x4e, 0xa1, 0xc5, 0x83, 0x5f, 0xa4, 0xd7, 0x15, 0x45, 0x8e, 0x0d, 0x08, 0xac, 0xe7, 0x33, 0x18, 0x7d, 0x3b, 0x04, 0x3d, 0x6c, 0x04, 0x5a, 0x9f, 0x4c, 0x38, 0xab, 0x36}} , 810 {{0xc9, 0xa3, 0xf8, 0x6a, 0xae, 0x46, 0x5f, 0x0e, 0x56, 0x51, 0x38, 0x64, 0x51, 0x0f, 0x39, 0x97, 0x56, 0x1f, 0xa2, 0xc9, 0xe8, 0x5e, 0xa2, 0x1d, 0xc2, 0x29, 0x23, 0x09, 0xf3, 0xcd, 0x60, 0x22}}}, 811 {{{0x5c, 0xe2, 0xf8, 0xd3, 0x5f, 0x48, 0x62, 0xac, 0x86, 0x48, 0x62, 0x81, 0x19, 0x98, 0x43, 0x63, 0x3a, 0xc8, 0xda, 0x3e, 0x74, 0xae, 0xf4, 0x1f, 0x49, 0x8f, 0x92, 0x22, 0x4a, 0x9c, 0xae, 0x67}} , 812 {{0xd4, 0xb4, 0xf5, 0x78, 0x48, 0x68, 0xc3, 0x02, 0x04, 0x03, 0x24, 0x67, 0x17, 0xec, 0x16, 0x9f, 0xf7, 0x9e, 0x26, 0x60, 0x8e, 0xa1, 0x26, 0xa1, 0xab, 0x69, 0xee, 0x77, 0xd1, 0xb1, 0x67, 0x12}}}, 813 {{{0x70, 0xf8, 0xc9, 0xc4, 0x57, 0xa6, 0x3a, 0x49, 0x47, 0x15, 0xce, 0x93, 0xc1, 0x9e, 0x73, 0x1a, 0xf9, 0x20, 0x35, 0x7a, 0xb8, 0xd4, 0x25, 0x83, 0x46, 0xf1, 0xcf, 0x56, 0xdb, 0xa8, 0x3d, 0x20}} , 814 {{0x2f, 0x11, 0x32, 0xca, 0x61, 0xab, 0x38, 0xdf, 0xf0, 0x0f, 0x2f, 0xea, 0x32, 0x28, 0xf2, 0x4c, 0x6c, 0x71, 0xd5, 0x80, 0x85, 0xb8, 0x0e, 0x47, 0xe1, 0x95, 0x15, 0xcb, 0x27, 0xe8, 0xd0, 0x47}}}, 815 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 816 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 817 {{{0xc8, 0x84, 0xa5, 0x08, 0xbc, 0xfd, 0x87, 0x3b, 0x99, 0x8b, 0x69, 0x80, 0x7b, 0xc6, 0x3a, 0xeb, 0x93, 0xcf, 0x4e, 0xf8, 0x5c, 0x2d, 0x86, 0x42, 0xb6, 0x71, 0xd7, 0x97, 0x5f, 0xe1, 0x42, 0x67}} , 818 {{0xb4, 0xb9, 0x37, 0xfc, 0xa9, 0x5b, 0x2f, 0x1e, 0x93, 0xe4, 0x1e, 0x62, 0xfc, 0x3c, 0x78, 0x81, 0x8f, 0xf3, 0x8a, 0x66, 0x09, 0x6f, 0xad, 0x6e, 0x79, 0x73, 0xe5, 0xc9, 0x00, 0x06, 0xd3, 0x21}}}, 819 {{{0xf8, 0xf9, 0x28, 0x6c, 0x6d, 0x59, 0xb2, 0x59, 0x74, 0x23, 0xbf, 0xe7, 0x33, 0x8d, 0x57, 0x09, 0x91, 0x9c, 0x24, 0x08, 0x15, 0x2b, 0xe2, 0xb8, 0xee, 0x3a, 0xe5, 0x27, 0x06, 0x86, 0xa4, 0x23}} , 820 {{0xeb, 0x27, 0x67, 0xc1, 0x37, 0xab, 0x7a, 0xd8, 0x27, 0x9c, 0x07, 0x8e, 0xff, 0x11, 0x6a, 0xb0, 0x78, 0x6e, 0xad, 0x3a, 0x2e, 0x0f, 0x98, 0x9f, 0x72, 0xc3, 0x7f, 0x82, 0xf2, 0x96, 0x96, 0x70}}}, 821 {{{0x81, 0x6b, 0x88, 0xe8, 0x1e, 0xc7, 0x77, 0x96, 0x0e, 0xa1, 0xa9, 0x52, 0xe0, 0xd8, 0x0e, 0x61, 0x9e, 0x79, 0x2d, 0x95, 0x9c, 0x8d, 0x96, 0xe0, 0x06, 0x40, 0x5d, 0x87, 0x28, 0x5f, 0x98, 0x70}} , 822 {{0xf1, 0x79, 0x7b, 0xed, 0x4f, 0x44, 0xb2, 0xe7, 0x08, 0x0d, 0xc2, 0x08, 0x12, 0xd2, 0x9f, 0xdf, 0xcd, 0x93, 0x20, 0x8a, 0xcf, 0x33, 0xca, 0x6d, 0x89, 0xb9, 0x77, 0xc8, 0x93, 0x1b, 0x4e, 0x60}}}, 823 {{{0x26, 0x4f, 0x7e, 0x97, 0xf6, 0x40, 0xdd, 0x4f, 0xfc, 0x52, 0x78, 0xf9, 0x90, 0x31, 0x03, 0xe6, 0x7d, 0x56, 0x39, 0x0b, 0x1d, 0x56, 0x82, 0x85, 0xf9, 0x1a, 0x42, 0x17, 0x69, 0x6c, 0xcf, 0x39}} , 824 {{0x69, 0xd2, 0x06, 0x3a, 0x4f, 0x39, 0x2d, 0xf9, 0x38, 0x40, 0x8c, 0x4c, 0xe7, 0x05, 0x12, 0xb4, 0x78, 0x8b, 0xf8, 0xc0, 0xec, 0x93, 0xde, 0x7a, 0x6b, 0xce, 0x2c, 0xe1, 0x0e, 0xa9, 0x34, 0x44}}}, 825 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 826 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 827 {{{0x0b, 0xa4, 0x3c, 0xb0, 0x0f, 0x7a, 0x51, 0xf1, 0x78, 0xd6, 0xd9, 0x6a, 0xfd, 0x46, 0xe8, 0xb8, 0xa8, 0x79, 0x1d, 0x87, 0xf9, 0x90, 0xf2, 0x9c, 0x13, 0x29, 0xf8, 0x0b, 0x20, 0x64, 0xfa, 0x05}} , 828 {{0x26, 0x09, 0xda, 0x17, 0xaf, 0x95, 0xd6, 0xfb, 0x6a, 0x19, 0x0d, 0x6e, 0x5e, 0x12, 0xf1, 0x99, 0x4c, 0xaa, 0xa8, 0x6f, 0x79, 0x86, 0xf4, 0x72, 0x28, 0x00, 0x26, 0xf9, 0xea, 0x9e, 0x19, 0x3d}}}, 829 {{{0x87, 0xdd, 0xcf, 0xf0, 0x5b, 0x49, 0xa2, 0x5d, 0x40, 0x7a, 0x23, 0x26, 0xa4, 0x7a, 0x83, 0x8a, 0xb7, 0x8b, 0xd2, 0x1a, 0xbf, 0xea, 0x02, 0x24, 0x08, 0x5f, 0x7b, 0xa9, 0xb1, 0xbe, 0x9d, 0x37}} , 830 {{0xfc, 0x86, 0x4b, 0x08, 0xee, 0xe7, 0xa0, 0xfd, 0x21, 0x45, 0x09, 0x34, 0xc1, 0x61, 0x32, 0x23, 0xfc, 0x9b, 0x55, 0x48, 0x53, 0x99, 0xf7, 0x63, 0xd0, 0x99, 0xce, 0x01, 0xe0, 0x9f, 0xeb, 0x28}}}, 831 {{{0x47, 0xfc, 0xab, 0x5a, 0x17, 0xf0, 0x85, 0x56, 0x3a, 0x30, 0x86, 0x20, 0x28, 0x4b, 0x8e, 0x44, 0x74, 0x3a, 0x6e, 0x02, 0xf1, 0x32, 0x8f, 0x9f, 0x3f, 0x08, 0x35, 0xe9, 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0x17}}}, 931 {{{0xe3, 0xae, 0xc8, 0xc1, 0x71, 0x75, 0x31, 0x00, 0x37, 0x41, 0x5c, 0x0e, 0x39, 0xda, 0x73, 0xa0, 0xc7, 0x97, 0x36, 0x6c, 0x5b, 0xf2, 0xee, 0x64, 0x0a, 0x3d, 0x89, 0x1e, 0x1d, 0x49, 0x8c, 0x37}} , 932 {{0x4c, 0xe6, 0xb0, 0xc1, 0xa5, 0x2a, 0x82, 0x09, 0x08, 0xad, 0x79, 0x9c, 0x56, 0xf6, 0xf9, 0xc1, 0xd7, 0x7c, 0x39, 0x7f, 0x93, 0xca, 0x11, 0x55, 0xbf, 0x07, 0x1b, 0x82, 0x29, 0x69, 0x95, 0x5c}}}, 933 {{{0x87, 0xee, 0xa6, 0x56, 0x9e, 0xc2, 0x9a, 0x56, 0x24, 0x42, 0x85, 0x4d, 0x98, 0x31, 0x1e, 0x60, 0x4d, 0x87, 0x85, 0x04, 0xae, 0x46, 0x12, 0xf9, 0x8e, 0x7f, 0xe4, 0x7f, 0xf6, 0x1c, 0x37, 0x01}} , 934 {{0x73, 0x4c, 0xb6, 0xc5, 0xc4, 0xe9, 0x6c, 0x85, 0x48, 0x4a, 0x5a, 0xac, 0xd9, 0x1f, 0x43, 0xf8, 0x62, 0x5b, 0xee, 0x98, 0x2a, 0x33, 0x8e, 0x79, 0xce, 0x61, 0x06, 0x35, 0xd8, 0xd7, 0xca, 0x71}}}, 935 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0xe2, 0x97, 0x4e, 0x3d}}}, 941 {{{0x3f, 0x75, 0x8e, 0xb4, 0xff, 0xd8, 0xdd, 0xd6, 0x37, 0x57, 0x9d, 0x6d, 0x3b, 0xbd, 0xd5, 0x60, 0x88, 0x65, 0x9a, 0xb9, 0x4a, 0x68, 0x84, 0xa2, 0x67, 0xdd, 0x17, 0x25, 0x97, 0x04, 0x8b, 0x5e}} , 942 {{0xbb, 0x40, 0x5e, 0xbc, 0x16, 0x92, 0x05, 0xc4, 0xc0, 0x4e, 0x72, 0x90, 0x0e, 0xab, 0xcf, 0x8a, 0xed, 0xef, 0xb9, 0x2d, 0x3b, 0xf8, 0x43, 0x5b, 0xba, 0x2d, 0xeb, 0x2f, 0x52, 0xd2, 0xd1, 0x5a}}}, 943 {{{0x40, 0xb4, 0xab, 0xe6, 0xad, 0x9f, 0x46, 0x69, 0x4a, 0xb3, 0x8e, 0xaa, 0xea, 0x9c, 0x8a, 0x20, 0x16, 0x5d, 0x8c, 0x13, 0xbd, 0xf6, 0x1d, 0xc5, 0x24, 0xbd, 0x90, 0x2a, 0x1c, 0xc7, 0x13, 0x3b}} , 944 {{0x54, 0xdc, 0x16, 0x0d, 0x18, 0xbe, 0x35, 0x64, 0x61, 0x52, 0x02, 0x80, 0xaf, 0x05, 0xf7, 0xa6, 0x42, 0xd3, 0x8f, 0x2e, 0x79, 0x26, 0xa8, 0xbb, 0xb2, 0x17, 0x48, 0xb2, 0x7a, 0x0a, 0x89, 0x14}}}, 945 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0xac, 0x18, 0x21, 0x09, 0x67, 0x66, 0x67}}}, 951 {{{0xb3, 0x40, 0x29, 0xd1, 0xcb, 0x1b, 0x08, 0x9e, 0x9c, 0xb7, 0x53, 0xb9, 0x3b, 0x71, 0x08, 0x95, 0x12, 0x1a, 0x58, 0xaf, 0x7e, 0x82, 0x52, 0x43, 0x4f, 0x11, 0x39, 0xf4, 0x93, 0x1a, 0x26, 0x05}} , 952 {{0x6e, 0x44, 0xa3, 0xf9, 0x64, 0xaf, 0xe7, 0x6d, 0x7d, 0xdf, 0x1e, 0xac, 0x04, 0xea, 0x3b, 0x5f, 0x9b, 0xe8, 0x24, 0x9d, 0x0e, 0xe5, 0x2e, 0x3e, 0xdf, 0xa9, 0xf7, 0xd4, 0x50, 0x71, 0xf0, 0x78}}}, 953 {{{0x3e, 0xa8, 0x38, 0xc2, 0x57, 0x56, 0x42, 0x9a, 0xb1, 0xe2, 0xf8, 0x45, 0xaa, 0x11, 0x48, 0x5f, 0x17, 0xc4, 0x54, 0x27, 0xdc, 0x5d, 0xaa, 0xdd, 0x41, 0xbc, 0xdf, 0x81, 0xb9, 0x53, 0xee, 0x52}} , 954 {{0xc3, 0xf1, 0xa7, 0x6d, 0xb3, 0x5f, 0x92, 0x6f, 0xcc, 0x91, 0xb8, 0x95, 0x05, 0xdf, 0x3c, 0x64, 0x57, 0x39, 0x61, 0x51, 0xad, 0x8c, 0x38, 0x7b, 0xc8, 0xde, 0x00, 0x34, 0xbe, 0xa1, 0xb0, 0x7e}}}, 955 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0x1e, 0x0f, 0xda, 0xd6, 0x29, 0xb1, 0x60, 0xe0, 0xb2, 0xba, 0x69, 0xa2, 0x9e, 0xbd, 0xbd, 0xe0, 0x1c, 0xbd, 0xcd, 0x06, 0x64, 0x70}}}, 1001 {{{0x41, 0xfa, 0x8c, 0xe1, 0x89, 0x8f, 0x27, 0xc8, 0x25, 0x8f, 0x6f, 0x5f, 0x55, 0xf8, 0xde, 0x95, 0x6d, 0x2f, 0x75, 0x16, 0x2b, 0x4e, 0x44, 0xfd, 0x86, 0x6e, 0xe9, 0x70, 0x39, 0x76, 0x97, 0x7e}} , 1002 {{0x17, 0x62, 0x6b, 0x14, 0xa1, 0x7c, 0xd0, 0x79, 0x6e, 0xd8, 0x8a, 0xa5, 0x6d, 0x8c, 0x93, 0xd2, 0x3f, 0xec, 0x44, 0x8d, 0x6e, 0x91, 0x01, 0x8c, 0x8f, 0xee, 0x01, 0x8f, 0xc0, 0xb4, 0x85, 0x0e}}}, 1003 {{{0x02, 0x3a, 0x70, 0x41, 0xe4, 0x11, 0x57, 0x23, 0xac, 0xe6, 0xfc, 0x54, 0x7e, 0xcd, 0xd7, 0x22, 0xcb, 0x76, 0x9f, 0x20, 0xce, 0xa0, 0x73, 0x76, 0x51, 0x3b, 0xa4, 0xf8, 0xe3, 0x62, 0x12, 0x6c}} , 1004 {{0x7f, 0x00, 0x9c, 0x26, 0x0d, 0x6f, 0x48, 0x7f, 0x3a, 0x01, 0xed, 0xc5, 0x96, 0xb0, 0x1f, 0x4f, 0xa8, 0x02, 0x62, 0x27, 0x8a, 0x50, 0x8d, 0x9a, 0x8b, 0x52, 0x0f, 0x1e, 0xcf, 0x41, 0x38, 0x19}}}, 1005 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1006 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1007 {{{0xf5, 0x6c, 0xd4, 0x2f, 0x0f, 0x69, 0x0f, 0x87, 0x3f, 0x61, 0x65, 0x1e, 0x35, 0x34, 0x85, 0xba, 0x02, 0x30, 0xac, 0x25, 0x3d, 0xe2, 0x62, 0xf1, 0xcc, 0xe9, 0x1b, 0xc2, 0xef, 0x6a, 0x42, 0x57}} , 1008 {{0x34, 0x1f, 0x2e, 0xac, 0xd1, 0xc7, 0x04, 0x52, 0x32, 0x66, 0xb2, 0x33, 0x73, 0x21, 0x34, 0x54, 0xf7, 0x71, 0xed, 0x06, 0xb0, 0xff, 0xa6, 0x59, 0x6f, 0x8a, 0x4e, 0xfb, 0x02, 0xb0, 0x45, 0x6b}}}, 1009 {{{0xf5, 0x48, 0x0b, 0x03, 0xc5, 0x22, 0x7d, 0x80, 0x08, 0x53, 0xfe, 0x32, 0xb1, 0xa1, 0x8a, 0x74, 0x6f, 0xbd, 0x3f, 0x85, 0xf4, 0xcf, 0xf5, 0x60, 0xaf, 0x41, 0x7e, 0x3e, 0x46, 0xa3, 0x5a, 0x20}} , 1010 {{0xaa, 0x35, 0x87, 0x44, 0x63, 0x66, 0x97, 0xf8, 0x6e, 0x55, 0x0c, 0x04, 0x3e, 0x35, 0x50, 0xbf, 0x93, 0x69, 0xd2, 0x8b, 0x05, 0x55, 0x99, 0xbe, 0xe2, 0x53, 0x61, 0xec, 0xe8, 0x08, 0x0b, 0x32}}}, 1011 {{{0xb3, 0x10, 0x45, 0x02, 0x69, 0x59, 0x2e, 0x97, 0xd9, 0x64, 0xf8, 0xdb, 0x25, 0x80, 0xdc, 0xc4, 0xd5, 0x62, 0x3c, 0xed, 0x65, 0x91, 0xad, 0xd1, 0x57, 0x81, 0x94, 0xaa, 0xa1, 0x29, 0xfc, 0x68}} , 1012 {{0xdd, 0xb5, 0x7d, 0xab, 0x5a, 0x21, 0x41, 0x53, 0xbb, 0x17, 0x79, 0x0d, 0xd1, 0xa8, 0x0c, 0x0c, 0x20, 0x88, 0x09, 0xe9, 0x84, 0xe8, 0x25, 0x11, 0x67, 0x7a, 0x8b, 0x1a, 0xe4, 0x5d, 0xe1, 0x5d}}}, 1013 {{{0x37, 0xea, 0xfe, 0x65, 0x3b, 0x25, 0xe8, 0xe1, 0xc2, 0xc5, 0x02, 0xa4, 0xbe, 0x98, 0x0a, 0x2b, 0x61, 0xc1, 0x9b, 0xe2, 0xd5, 0x92, 0xe6, 0x9e, 0x7d, 0x1f, 0xca, 0x43, 0x88, 0x8b, 0x2c, 0x59}} , 1014 {{0xe0, 0xb5, 0x00, 0x1d, 0x2a, 0x6f, 0xaf, 0x79, 0x86, 0x2f, 0xa6, 0x5a, 0x93, 0xd1, 0xfe, 0xae, 0x3a, 0xee, 0xdb, 0x7c, 0x61, 0xbe, 0x7c, 0x01, 0xf9, 0xfe, 0x52, 0xdc, 0xd8, 0x52, 0xa3, 0x42}}}, 1015 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1016 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1017 {{{0x22, 0xaf, 0x13, 0x37, 0xbd, 0x37, 0x71, 0xac, 0x04, 0x46, 0x63, 0xac, 0xa4, 0x77, 0xed, 0x25, 0x38, 0xe0, 0x15, 0xa8, 0x64, 0x00, 0x0d, 0xce, 0x51, 0x01, 0xa9, 0xbc, 0x0f, 0x03, 0x1c, 0x04}} , 1018 {{0x89, 0xf9, 0x80, 0x07, 0xcf, 0x3f, 0xb3, 0xe9, 0xe7, 0x45, 0x44, 0x3d, 0x2a, 0x7c, 0xe9, 0xe4, 0x16, 0x5c, 0x5e, 0x65, 0x1c, 0xc7, 0x7d, 0xc6, 0x7a, 0xfb, 0x43, 0xee, 0x25, 0x76, 0x46, 0x72}}}, 1019 {{{0x02, 0xa2, 0xed, 0xf4, 0x8f, 0x6b, 0x0b, 0x3e, 0xeb, 0x35, 0x1a, 0xd5, 0x7e, 0xdb, 0x78, 0x00, 0x96, 0x8a, 0xa0, 0xb4, 0xcf, 0x60, 0x4b, 0xd4, 0xd5, 0xf9, 0x2d, 0xbf, 0x88, 0xbd, 0x22, 0x62}} , 1020 {{0x13, 0x53, 0xe4, 0x82, 0x57, 0xfa, 0x1e, 0x8f, 0x06, 0x2b, 0x90, 0xba, 0x08, 0xb6, 0x10, 0x54, 0x4f, 0x7c, 0x1b, 0x26, 0xed, 0xda, 0x6b, 0xdd, 0x25, 0xd0, 0x4e, 0xea, 0x42, 0xbb, 0x25, 0x03}}}, 1021 {{{0x51, 0x16, 0x50, 0x7c, 0xd5, 0x5d, 0xf6, 0x99, 0xe8, 0x77, 0x72, 0x4e, 0xfa, 0x62, 0xcb, 0x76, 0x75, 0x0c, 0xe2, 0x71, 0x98, 0x92, 0xd5, 0xfa, 0x45, 0xdf, 0x5c, 0x6f, 0x1e, 0x9e, 0x28, 0x69}} , 1022 {{0x0d, 0xac, 0x66, 0x6d, 0xc3, 0x8b, 0xba, 0x16, 0xb5, 0xe2, 0xa0, 0x0d, 0x0c, 0xbd, 0xa4, 0x8e, 0x18, 0x6c, 0xf2, 0xdc, 0xf9, 0xdc, 0x4a, 0x86, 0x25, 0x95, 0x14, 0xcb, 0xd8, 0x1a, 0x04, 0x0f}}}, 1023 {{{0x97, 0xa5, 0xdb, 0x8b, 0x2d, 0xaa, 0x42, 0x11, 0x09, 0xf2, 0x93, 0xbb, 0xd9, 0x06, 0x84, 0x4e, 0x11, 0xa8, 0xa0, 0x25, 0x2b, 0xa6, 0x5f, 0xae, 0xc4, 0xb4, 0x4c, 0xc8, 0xab, 0xc7, 0x3b, 0x02}} , 1024 {{0xee, 0xc9, 0x29, 0x0f, 0xdf, 0x11, 0x85, 0xed, 0xce, 0x0d, 0x62, 0x2c, 0x8f, 0x4b, 0xf9, 0x04, 0xe9, 0x06, 0x72, 0x1d, 0x37, 0x20, 0x50, 0xc9, 0x14, 0xeb, 0xec, 0x39, 0xa7, 0x97, 0x2b, 0x4d}}}, 1025 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1026 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1027 {{{0x69, 0xd1, 0x39, 0xbd, 0xfb, 0x33, 0xbe, 0xc4, 0xf0, 0x5c, 0xef, 0xf0, 0x56, 0x68, 0xfc, 0x97, 0x47, 0xc8, 0x72, 0xb6, 0x53, 0xa4, 0x0a, 0x98, 0xa5, 0xb4, 0x37, 0x71, 0xcf, 0x66, 0x50, 0x6d}} , 1028 {{0x17, 0xa4, 0x19, 0x52, 0x11, 0x47, 0xb3, 0x5c, 0x5b, 0xa9, 0x2e, 0x22, 0xb4, 0x00, 0x52, 0xf9, 0x57, 0x18, 0xb8, 0xbe, 0x5a, 0xe3, 0xab, 0x83, 0xc8, 0x87, 0x0a, 0x2a, 0xd8, 0x8c, 0xbb, 0x54}}}, 1029 {{{0xa9, 0x62, 0x93, 0x85, 0xbe, 0xe8, 0x73, 0x4a, 0x0e, 0xb0, 0xb5, 0x2d, 0x94, 0x50, 0xaa, 0xd3, 0xb2, 0xea, 0x9d, 0x62, 0x76, 0x3b, 0x07, 0x34, 0x4e, 0x2d, 0x70, 0xc8, 0x9a, 0x15, 0x66, 0x6b}} , 1030 {{0xc5, 0x96, 0xca, 0xc8, 0x22, 0x1a, 0xee, 0x5f, 0xe7, 0x31, 0x60, 0x22, 0x83, 0x08, 0x63, 0xce, 0xb9, 0x32, 0x44, 0x58, 0x5d, 0x3a, 0x9b, 0xe4, 0x04, 0xd5, 0xef, 0x38, 0xef, 0x4b, 0xdd, 0x19}}}, 1031 {{{0x4d, 0xc2, 0x17, 0x75, 0xa1, 0x68, 0xcd, 0xc3, 0xc6, 0x03, 0x44, 0xe3, 0x78, 0x09, 0x91, 0x47, 0x3f, 0x0f, 0xe4, 0x92, 0x58, 0xfa, 0x7d, 0x1f, 0x20, 0x94, 0x58, 0x5e, 0xbc, 0x19, 0x02, 0x6f}} , 1032 {{0x20, 0xd6, 0xd8, 0x91, 0x54, 0xa7, 0xf3, 0x20, 0x4b, 0x34, 0x06, 0xfa, 0x30, 0xc8, 0x6f, 0x14, 0x10, 0x65, 0x74, 0x13, 0x4e, 0xf0, 0x69, 0x26, 0xce, 0xcf, 0x90, 0xf4, 0xd0, 0xc5, 0xc8, 0x64}}}, 1033 {{{0x26, 0xa2, 0x50, 0x02, 0x24, 0x72, 0xf1, 0xf0, 0x4e, 0x2d, 0x93, 0xd5, 0x08, 0xe7, 0xae, 0x38, 0xf7, 0x18, 0xa5, 0x32, 0x34, 0xc2, 0xf0, 0xa6, 0xec, 0xb9, 0x61, 0x7b, 0x64, 0x99, 0xac, 0x71}} , 1034 {{0x25, 0xcf, 0x74, 0x55, 0x1b, 0xaa, 0xa9, 0x38, 0x41, 0x40, 0xd5, 0x95, 0x95, 0xab, 0x1c, 0x5e, 0xbc, 0x41, 0x7e, 0x14, 0x30, 0xbe, 0x13, 0x89, 0xf4, 0xe5, 0xeb, 0x28, 0xc0, 0xc2, 0x96, 0x3a}}}, 1035 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1036 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1037 {{{0x2b, 0x77, 0x45, 0xec, 0x67, 0x76, 0x32, 0x4c, 0xb9, 0xdf, 0x25, 0x32, 0x6b, 0xcb, 0xe7, 0x14, 0x61, 0x43, 0xee, 0xba, 0x9b, 0x71, 0xef, 0xd2, 0x48, 0x65, 0xbb, 0x1b, 0x8a, 0x13, 0x1b, 0x22}} , 1038 {{0x84, 0xad, 0x0c, 0x18, 0x38, 0x5a, 0xba, 0xd0, 0x98, 0x59, 0xbf, 0x37, 0xb0, 0x4f, 0x97, 0x60, 0x20, 0xb3, 0x9b, 0x97, 0xf6, 0x08, 0x6c, 0xa4, 0xff, 0xfb, 0xb7, 0xfa, 0x95, 0xb2, 0x51, 0x79}}}, 1039 {{{0x28, 0x5c, 0x3f, 0xdb, 0x6b, 0x18, 0x3b, 0x5c, 0xd1, 0x04, 0x28, 0xde, 0x85, 0x52, 0x31, 0xb5, 0xbb, 0xf6, 0xa9, 0xed, 0xbe, 0x28, 0x4f, 0xb3, 0x7e, 0x05, 0x6a, 0xdb, 0x95, 0x0d, 0x1b, 0x1c}} , 1040 {{0xd5, 0xc5, 0xc3, 0x9a, 0x0a, 0xd0, 0x31, 0x3e, 0x07, 0x36, 0x8e, 0xc0, 0x8a, 0x62, 0xb1, 0xca, 0xd6, 0x0e, 0x1e, 0x9d, 0xef, 0xab, 0x98, 0x4d, 0xbb, 0x6c, 0x05, 0xe0, 0xe4, 0x5d, 0xbd, 0x57}}}, 1041 {{{0xcc, 0x21, 0x27, 0xce, 0xfd, 0xa9, 0x94, 0x8e, 0xe1, 0xab, 0x49, 0xe0, 0x46, 0x26, 0xa1, 0xa8, 0x8c, 0xa1, 0x99, 0x1d, 0xb4, 0x27, 0x6d, 0x2d, 0xc8, 0x39, 0x30, 0x5e, 0x37, 0x52, 0xc4, 0x6e}} , 1042 {{0xa9, 0x85, 0xf4, 0xe7, 0xb0, 0x15, 0x33, 0x84, 0x1b, 0x14, 0x1a, 0x02, 0xd9, 0x3b, 0xad, 0x0f, 0x43, 0x6c, 0xea, 0x3e, 0x0f, 0x7e, 0xda, 0xdd, 0x6b, 0x4c, 0x7f, 0x6e, 0xd4, 0x6b, 0xbf, 0x0f}}}, 1043 {{{0x47, 0x9f, 0x7c, 0x56, 0x7c, 0x43, 0x91, 0x1c, 0xbb, 0x4e, 0x72, 0x3e, 0x64, 0xab, 0xa0, 0xa0, 0xdf, 0xb4, 0xd8, 0x87, 0x3a, 0xbd, 0xa8, 0x48, 0xc9, 0xb8, 0xef, 0x2e, 0xad, 0x6f, 0x84, 0x4f}} , 1044 {{0x2d, 0x2d, 0xf0, 0x1b, 0x7e, 0x2a, 0x6c, 0xf8, 0xa9, 0x6a, 0xe1, 0xf0, 0x99, 0xa1, 0x67, 0x9a, 0xd4, 0x13, 0xca, 0xca, 0xba, 0x27, 0x92, 0xaa, 0xa1, 0x5d, 0x50, 0xde, 0xcc, 0x40, 0x26, 0x0a}}}, 1045 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1046 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1047 {{{0x9f, 0x3e, 0xf2, 0xb2, 0x90, 0xce, 0xdb, 0x64, 0x3e, 0x03, 0xdd, 0x37, 0x36, 0x54, 0x70, 0x76, 0x24, 0xb5, 0x69, 0x03, 0xfc, 0xa0, 0x2b, 0x74, 0xb2, 0x05, 0x0e, 0xcc, 0xd8, 0x1f, 0x6a, 0x1f}} , 1048 {{0x19, 0x5e, 0x60, 0x69, 0x58, 0x86, 0xa0, 0x31, 0xbd, 0x32, 0xe9, 0x2c, 0x5c, 0xd2, 0x85, 0xba, 0x40, 0x64, 0xa8, 0x74, 0xf8, 0x0e, 0x1c, 0xb3, 0xa9, 0x69, 0xe8, 0x1e, 0x40, 0x64, 0x99, 0x77}}}, 1049 {{{0x6c, 0x32, 0x4f, 0xfd, 0xbb, 0x5c, 0xbb, 0x8d, 0x64, 0x66, 0x4a, 0x71, 0x1f, 0x79, 0xa3, 0xad, 0x8d, 0xf9, 0xd4, 0xec, 0xcf, 0x67, 0x70, 0xfa, 0x05, 0x4a, 0x0f, 0x6e, 0xaf, 0x87, 0x0a, 0x6f}} , 1050 {{0xc6, 0x36, 0x6e, 0x6c, 0x8c, 0x24, 0x09, 0x60, 0xbe, 0x26, 0xd2, 0x4c, 0x5e, 0x17, 0xca, 0x5f, 0x1d, 0xcc, 0x87, 0xe8, 0x42, 0x6a, 0xcb, 0xcb, 0x7d, 0x92, 0x05, 0x35, 0x81, 0x13, 0x60, 0x6b}}}, 1051 {{{0xf4, 0x15, 0xcd, 0x0f, 0x0a, 0xaf, 0x4e, 0x6b, 0x51, 0xfd, 0x14, 0xc4, 0x2e, 0x13, 0x86, 0x74, 0x44, 0xcb, 0x66, 0x6b, 0xb6, 0x9d, 0x74, 0x56, 0x32, 0xac, 0x8d, 0x8e, 0x8c, 0x8c, 0x8c, 0x39}} , 1052 {{0xca, 0x59, 0x74, 0x1a, 0x11, 0xef, 0x6d, 0xf7, 0x39, 0x5c, 0x3b, 0x1f, 0xfa, 0xe3, 0x40, 0x41, 0x23, 0x9e, 0xf6, 0xd1, 0x21, 0xa2, 0xbf, 0xad, 0x65, 0x42, 0x6b, 0x59, 0x8a, 0xe8, 0xc5, 0x7f}}}, 1053 {{{0x64, 0x05, 0x7a, 0x84, 0x4a, 0x13, 0xc3, 0xf6, 0xb0, 0x6e, 0x9a, 0x6b, 0x53, 0x6b, 0x32, 0xda, 0xd9, 0x74, 0x75, 0xc4, 0xba, 0x64, 0x3d, 0x3b, 0x08, 0xdd, 0x10, 0x46, 0xef, 0xc7, 0x90, 0x1f}} , 1054 {{0x7b, 0x2f, 0x3a, 0xce, 0xc8, 0xa1, 0x79, 0x3c, 0x30, 0x12, 0x44, 0x28, 0xf6, 0xbc, 0xff, 0xfd, 0xf4, 0xc0, 0x97, 0xb0, 0xcc, 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0xbf, 0x55, 0x35, 0x61, 0x8b, 0x44, 0x97, 0xe8, 0x3a, 0x55, 0xc1, 0xc8, 0x3b, 0xfd, 0x95, 0x29, 0x11, 0x60, 0x96, 0x1e, 0xcb, 0x11, 0x9d, 0xc2, 0x03, 0x8a, 0x1b, 0xc6, 0xd6, 0x45, 0x3d}}}, 1105 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1106 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1107 {{{0x7e, 0x0e, 0x50, 0xb2, 0xcc, 0x0d, 0x6b, 0xa6, 0x71, 0x5b, 0x42, 0xed, 0xbd, 0xaf, 0xac, 0xf0, 0xfc, 0x12, 0xa2, 0x3f, 0x4e, 0xda, 0xe8, 0x11, 0xf3, 0x23, 0xe1, 0x04, 0x62, 0x03, 0x1c, 0x4e}} , 1108 {{0xc8, 0xb1, 0x1b, 0x6f, 0x73, 0x61, 0x3d, 0x27, 0x0d, 0x7d, 0x7a, 0x25, 0x5f, 0x73, 0x0e, 0x2f, 0x93, 0xf6, 0x24, 0xd8, 0x4f, 0x90, 0xac, 0xa2, 0x62, 0x0a, 0xf0, 0x61, 0xd9, 0x08, 0x59, 0x6a}}}, 1109 {{{0x6f, 0x2d, 0x55, 0xf8, 0x2f, 0x8e, 0xf0, 0x18, 0x3b, 0xea, 0xdd, 0x26, 0x72, 0xd1, 0xf5, 0xfe, 0xe5, 0xb8, 0xe6, 0xd3, 0x10, 0x48, 0x46, 0x49, 0x3a, 0x9f, 0x5e, 0x45, 0x6b, 0x90, 0xe8, 0x7f}} , 1110 {{0xd3, 0x76, 0x69, 0x33, 0x7b, 0xb9, 0x40, 0x70, 0xee, 0xa6, 0x29, 0x6b, 0xdd, 0xd0, 0x5d, 0x8d, 0xc1, 0x3e, 0x4a, 0xea, 0x37, 0xb1, 0x03, 0x02, 0x03, 0x35, 0xf1, 0x28, 0x9d, 0xff, 0x00, 0x13}}}, 1111 {{{0x7a, 0xdb, 0x12, 0xd2, 0x8a, 0x82, 0x03, 0x1b, 0x1e, 0xaf, 0xf9, 0x4b, 0x9c, 0xbe, 0xae, 0x7c, 0xe4, 0x94, 0x2a, 0x23, 0xb3, 0x62, 0x86, 0xe7, 0xfd, 0x23, 0xaa, 0x99, 0xbd, 0x2b, 0x11, 0x6c}} , 1112 {{0x8d, 0xa6, 0xd5, 0xac, 0x9d, 0xcc, 0x68, 0x75, 0x7f, 0xc3, 0x4d, 0x4b, 0xdd, 0x6c, 0xbb, 0x11, 0x5a, 0x60, 0xe5, 0xbd, 0x7d, 0x27, 0x8b, 0xda, 0xb4, 0x95, 0xf6, 0x03, 0x27, 0xa4, 0x92, 0x3f}}}, 1113 {{{0x22, 0xd6, 0xb5, 0x17, 0x84, 0xbf, 0x12, 0xcc, 0x23, 0x14, 0x4a, 0xdf, 0x14, 0x31, 0xbc, 0xa1, 0xac, 0x6e, 0xab, 0xfa, 0x57, 0x11, 0x53, 0xb3, 0x27, 0xe6, 0xf9, 0x47, 0x33, 0x44, 0x34, 0x1e}} , 1114 {{0x79, 0xfc, 0xa6, 0xb4, 0x0b, 0x35, 0x20, 0xc9, 0x4d, 0x22, 0x84, 0xc4, 0xa9, 0x20, 0xec, 0x89, 0x94, 0xba, 0x66, 0x56, 0x48, 0xb9, 0x87, 0x7f, 0xca, 0x1e, 0x06, 0xed, 0xa5, 0x55, 0x59, 0x29}}}, 1115 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1116 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1117 {{{0x56, 0xe1, 0xf5, 0xf1, 0xd5, 0xab, 0xa8, 0x2b, 0xae, 0x89, 0xf3, 0xcf, 0x56, 0x9f, 0xf2, 0x4b, 0x31, 0xbc, 0x18, 0xa9, 0x06, 0x5b, 0xbe, 0xb4, 0x61, 0xf8, 0xb2, 0x06, 0x9c, 0x81, 0xab, 0x4c}} , 1118 {{0x1f, 0x68, 0x76, 0x01, 0x16, 0x38, 0x2b, 0x0f, 0x77, 0x97, 0x92, 0x67, 0x4e, 0x86, 0x6a, 0x8b, 0xe5, 0xe8, 0x0c, 0xf7, 0x36, 0x39, 0xb5, 0x33, 0xe6, 0xcf, 0x5e, 0xbd, 0x18, 0xfb, 0x10, 0x1f}}}, 1119 {{{0x83, 0xf0, 0x0d, 0x63, 0xef, 0x53, 0x6b, 0xb5, 0x6b, 0xf9, 0x83, 0xcf, 0xde, 0x04, 0x22, 0x9b, 0x2c, 0x0a, 0xe0, 0xa5, 0xd8, 0xc7, 0x9c, 0xa5, 0xa3, 0xf6, 0x6f, 0xcf, 0x90, 0x6b, 0x68, 0x7c}} , 1120 {{0x33, 0x15, 0xd7, 0x7f, 0x1a, 0xd5, 0x21, 0x58, 0xc4, 0x18, 0xa5, 0xf0, 0xcc, 0x73, 0xa8, 0xfd, 0xfa, 0x18, 0xd1, 0x03, 0x91, 0x8d, 0x52, 0xd2, 0xa3, 0xa4, 0xd3, 0xb1, 0xea, 0x1d, 0x0f, 0x00}}}, 1121 {{{0xcc, 0x48, 0x83, 0x90, 0xe5, 0xfd, 0x3f, 0x84, 0xaa, 0xf9, 0x8b, 0x82, 0x59, 0x24, 0x34, 0x68, 0x4f, 0x1c, 0x23, 0xd9, 0xcc, 0x71, 0xe1, 0x7f, 0x8c, 0xaf, 0xf1, 0xee, 0x00, 0xb6, 0xa0, 0x77}} , 1122 {{0xf5, 0x1a, 0x61, 0xf7, 0x37, 0x9d, 0x00, 0xf4, 0xf2, 0x69, 0x6f, 0x4b, 0x01, 0x85, 0x19, 0x45, 0x4d, 0x7f, 0x02, 0x7c, 0x6a, 0x05, 0x47, 0x6c, 0x1f, 0x81, 0x20, 0xd4, 0xe8, 0x50, 0x27, 0x72}}}, 1123 {{{0x2c, 0x3a, 0xe5, 0xad, 0xf4, 0xdd, 0x2d, 0xf7, 0x5c, 0x44, 0xb5, 0x5b, 0x21, 0xa3, 0x89, 0x5f, 0x96, 0x45, 0xca, 0x4d, 0xa4, 0x21, 0x99, 0x70, 0xda, 0xc4, 0xc4, 0xa0, 0xe5, 0xf4, 0xec, 0x0a}} , 1124 {{0x07, 0x68, 0x21, 0x65, 0xe9, 0x08, 0xa0, 0x0b, 0x6a, 0x4a, 0xba, 0xb5, 0x80, 0xaf, 0xd0, 0x1b, 0xc5, 0xf5, 0x4b, 0x73, 0x50, 0x60, 0x2d, 0x71, 0x69, 0x61, 0x0e, 0xc0, 0x20, 0x40, 0x30, 0x19}}}, 1125 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1126 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1127 {{{0xd0, 0x75, 0x57, 0x3b, 0xeb, 0x5c, 0x14, 0x56, 0x50, 0xc9, 0x4f, 0xb8, 0xb8, 0x1e, 0xa3, 0xf4, 0xab, 0xf5, 0xa9, 0x20, 0x15, 0x94, 0x82, 0xda, 0x96, 0x1c, 0x9b, 0x59, 0x8c, 0xff, 0xf4, 0x51}} , 1128 {{0xc1, 0x3a, 0x86, 0xd7, 0xb0, 0x06, 0x84, 0x7f, 0x1b, 0xbd, 0xd4, 0x07, 0x78, 0x80, 0x2e, 0xb1, 0xb4, 0xee, 0x52, 0x38, 0xee, 0x9a, 0xf9, 0xf6, 0xf3, 0x41, 0x6e, 0xd4, 0x88, 0x95, 0xac, 0x35}}}, 1129 {{{0x41, 0x97, 0xbf, 0x71, 0x6a, 0x9b, 0x72, 0xec, 0xf3, 0xf8, 0x6b, 0xe6, 0x0e, 0x6c, 0x69, 0xa5, 0x2f, 0x68, 0x52, 0xd8, 0x61, 0x81, 0xc0, 0x63, 0x3f, 0xa6, 0x3c, 0x13, 0x90, 0xe6, 0x8d, 0x56}} , 1130 {{0xe8, 0x39, 0x30, 0x77, 0x23, 0xb1, 0xfd, 0x1b, 0x3d, 0x3e, 0x74, 0x4d, 0x7f, 0xae, 0x5b, 0x3a, 0xb4, 0x65, 0x0e, 0x3a, 0x43, 0xdc, 0xdc, 0x41, 0x47, 0xe6, 0xe8, 0x92, 0x09, 0x22, 0x48, 0x4c}}}, 1131 {{{0x85, 0x57, 0x9f, 0xb5, 0xc8, 0x06, 0xb2, 0x9f, 0x47, 0x3f, 0xf0, 0xfa, 0xe6, 0xa9, 0xb1, 0x9b, 0x6f, 0x96, 0x7d, 0xf9, 0xa4, 0x65, 0x09, 0x75, 0x32, 0xa6, 0x6c, 0x7f, 0x47, 0x4b, 0x2f, 0x4f}} , 1132 {{0x34, 0xe9, 0x59, 0x93, 0x9d, 0x26, 0x80, 0x54, 0xf2, 0xcc, 0x3c, 0xc2, 0x25, 0x85, 0xe3, 0x6a, 0xc1, 0x62, 0x04, 0xa7, 0x08, 0x32, 0x6d, 0xa1, 0x39, 0x84, 0x8a, 0x3b, 0x87, 0x5f, 0x11, 0x13}}}, 1133 {{{0xda, 0x03, 0x34, 0x66, 0xc4, 0x0c, 0x73, 0x6e, 0xbc, 0x24, 0xb5, 0xf9, 0x70, 0x81, 0x52, 0xe9, 0xf4, 0x7c, 0x23, 0xdd, 0x9f, 0xb8, 0x46, 0xef, 0x1d, 0x22, 0x55, 0x7d, 0x71, 0xc4, 0x42, 0x33}} , 1134 {{0xc5, 0x37, 0x69, 0x5b, 0xa8, 0xc6, 0x9d, 0xa4, 0xfc, 0x61, 0x6e, 0x68, 0x46, 0xea, 0xd7, 0x1c, 0x67, 0xd2, 0x7d, 0xfa, 0xf1, 0xcc, 0x54, 0x8d, 0x36, 0x35, 0xc9, 0x00, 0xdf, 0x6c, 0x67, 0x50}}}, 1135 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1136 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1137 {{{0x9a, 0x4d, 0x42, 0x29, 0x5d, 0xa4, 0x6b, 0x6f, 0xa8, 0x8a, 0x4d, 0x91, 0x7b, 0xd2, 0xdf, 0x36, 0xef, 0x01, 0x22, 0xc5, 0xcc, 0x8d, 0xeb, 0x58, 0x3d, 0xb3, 0x50, 0xfc, 0x8b, 0x97, 0x96, 0x33}} , 1138 {{0x93, 0x33, 0x07, 0xc8, 0x4a, 0xca, 0xd0, 0xb1, 0xab, 0xbd, 0xdd, 0xa7, 0x7c, 0xac, 0x3e, 0x45, 0xcb, 0xcc, 0x07, 0x91, 0xbf, 0x35, 0x9d, 0xcb, 0x7d, 0x12, 0x3c, 0x11, 0x59, 0x13, 0xcf, 0x5c}}}, 1139 {{{0x45, 0xb8, 0x41, 0xd7, 0xab, 0x07, 0x15, 0x00, 0x8e, 0xce, 0xdf, 0xb2, 0x43, 0x5c, 0x01, 0xdc, 0xf4, 0x01, 0x51, 0x95, 0x10, 0x5a, 0xf6, 0x24, 0x24, 0xa0, 0x19, 0x3a, 0x09, 0x2a, 0xaa, 0x3f}} , 1140 {{0xdc, 0x8e, 0xeb, 0xc6, 0xbf, 0xdd, 0x11, 0x7b, 0xe7, 0x47, 0xe6, 0xce, 0xe7, 0xb6, 0xc5, 0xe8, 0x8a, 0xdc, 0x4b, 0x57, 0x15, 0x3b, 0x66, 0xca, 0x89, 0xa3, 0xfd, 0xac, 0x0d, 0xe1, 0x1d, 0x7a}}}, 1141 {{{0x89, 0xef, 0xbf, 0x03, 0x75, 0xd0, 0x29, 0x50, 0xcb, 0x7d, 0xd6, 0xbe, 0xad, 0x5f, 0x7b, 0x00, 0x32, 0xaa, 0x98, 0xed, 0x3f, 0x8f, 0x92, 0xcb, 0x81, 0x56, 0x01, 0x63, 0x64, 0xa3, 0x38, 0x39}} , 1142 {{0x8b, 0xa4, 0xd6, 0x50, 0xb4, 0xaa, 0x5d, 0x64, 0x64, 0x76, 0x2e, 0xa1, 0xa6, 0xb3, 0xb8, 0x7c, 0x7a, 0x56, 0xf5, 0x5c, 0x4e, 0x84, 0x5c, 0xfb, 0xdd, 0xca, 0x48, 0x8b, 0x48, 0xb9, 0xba, 0x34}}}, 1143 {{{0xc5, 0xe3, 0xe8, 0xae, 0x17, 0x27, 0xe3, 0x64, 0x60, 0x71, 0x47, 0x29, 0x02, 0x0f, 0x92, 0x5d, 0x10, 0x93, 0xc8, 0x0e, 0xa1, 0xed, 0xba, 0xa9, 0x96, 0x1c, 0xc5, 0x76, 0x30, 0xcd, 0xf9, 0x30}} , 1144 {{0x95, 0xb0, 0xbd, 0x8c, 0xbc, 0xa7, 0x4f, 0x7e, 0xfd, 0x4e, 0x3a, 0xbf, 0x5f, 0x04, 0x79, 0x80, 0x2b, 0x5a, 0x9f, 0x4f, 0x68, 0x21, 0x19, 0x71, 0xc6, 0x20, 0x01, 0x42, 0xaa, 0xdf, 0xae, 0x2c}}}, 1145 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1146 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1147 {{{0x90, 0x6e, 0x7e, 0x4b, 0x71, 0x93, 0xc0, 0x72, 0xed, 0xeb, 0x71, 0x24, 0x97, 0x26, 0x9c, 0xfe, 0xcb, 0x3e, 0x59, 0x19, 0xa8, 0x0f, 0x75, 0x7d, 0xbe, 0x18, 0xe6, 0x96, 0x1e, 0x95, 0x70, 0x60}} , 1148 {{0x89, 0x66, 0x3e, 0x1d, 0x4c, 0x5f, 0xfe, 0xc0, 0x04, 0x43, 0xd6, 0x44, 0x19, 0xb5, 0xad, 0xc7, 0x22, 0xdc, 0x71, 0x28, 0x64, 0xde, 0x41, 0x38, 0x27, 0x8f, 0x2c, 0x6b, 0x08, 0xb8, 0xb8, 0x7b}}}, 1149 {{{0x3d, 0x70, 0x27, 0x9d, 0xd9, 0xaf, 0xb1, 0x27, 0xaf, 0xe3, 0x5d, 0x1e, 0x3a, 0x30, 0x54, 0x61, 0x60, 0xe8, 0xc3, 0x26, 0x3a, 0xbc, 0x7e, 0xf5, 0x81, 0xdd, 0x64, 0x01, 0x04, 0xeb, 0xc0, 0x1e}} , 1150 {{0xda, 0x2c, 0xa4, 0xd1, 0xa1, 0xc3, 0x5c, 0x6e, 0x32, 0x07, 0x1f, 0xb8, 0x0e, 0x19, 0x9e, 0x99, 0x29, 0x33, 0x9a, 0xae, 0x7a, 0xed, 0x68, 0x42, 0x69, 0x7c, 0x07, 0xb3, 0x38, 0x2c, 0xf6, 0x3d}}}, 1151 {{{0x64, 0xaa, 0xb5, 0x88, 0x79, 0x65, 0x38, 0x8c, 0x94, 0xd6, 0x62, 0x37, 0x7d, 0x64, 0xcd, 0x3a, 0xeb, 0xff, 0xe8, 0x81, 0x09, 0xc7, 0x6a, 0x50, 0x09, 0x0d, 0x28, 0x03, 0x0d, 0x9a, 0x93, 0x0a}} , 1152 {{0x42, 0xa3, 0xf1, 0xc5, 0xb4, 0x0f, 0xd8, 0xc8, 0x8d, 0x15, 0x31, 0xbd, 0xf8, 0x07, 0x8b, 0xcd, 0x08, 0x8a, 0xfb, 0x18, 0x07, 0xfe, 0x8e, 0x52, 0x86, 0xef, 0xbe, 0xec, 0x49, 0x52, 0x99, 0x08}}}, 1153 {{{0x0f, 0xa9, 0xd5, 0x01, 0xaa, 0x48, 0x4f, 0x28, 0x66, 0x32, 0x1a, 0xba, 0x7c, 0xea, 0x11, 0x80, 0x17, 0x18, 0x9b, 0x56, 0x88, 0x25, 0x06, 0x69, 0x12, 0x2c, 0xea, 0x56, 0x69, 0x41, 0x24, 0x19}} , 1154 {{0xde, 0x21, 0xf0, 0xda, 0x8a, 0xfb, 0xb1, 0xb8, 0xcd, 0xc8, 0x6a, 0x82, 0x19, 0x73, 0xdb, 0xc7, 0xcf, 0x88, 0xeb, 0x96, 0xee, 0x6f, 0xfb, 0x06, 0xd2, 0xcd, 0x7d, 0x7b, 0x12, 0x28, 0x8e, 0x0c}}}, 1155 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1156 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1157 {{{0x93, 0x44, 0x97, 0xce, 0x28, 0xff, 0x3a, 0x40, 0xc4, 0xf5, 0xf6, 0x9b, 0xf4, 0x6b, 0x07, 0x84, 0xfb, 0x98, 0xd8, 0xec, 0x8c, 0x03, 0x57, 0xec, 0x49, 0xed, 0x63, 0xb6, 0xaa, 0xff, 0x98, 0x28}} , 1158 {{0x3d, 0x16, 0x35, 0xf3, 0x46, 0xbc, 0xb3, 0xf4, 0xc6, 0xb6, 0x4f, 0xfa, 0xf4, 0xa0, 0x13, 0xe6, 0x57, 0x45, 0x93, 0xb9, 0xbc, 0xd6, 0x59, 0xe7, 0x77, 0x94, 0x6c, 0xab, 0x96, 0x3b, 0x4f, 0x09}}}, 1159 {{{0x5a, 0xf7, 0x6b, 0x01, 0x12, 0x4f, 0x51, 0xc1, 0x70, 0x84, 0x94, 0x47, 0xb2, 0x01, 0x6c, 0x71, 0xd7, 0xcc, 0x17, 0x66, 0x0f, 0x59, 0x5d, 0x5d, 0x10, 0x01, 0x57, 0x11, 0xf5, 0xdd, 0xe2, 0x34}} , 1160 {{0x26, 0xd9, 0x1f, 0x5c, 0x58, 0xac, 0x8b, 0x03, 0xd2, 0xc3, 0x85, 0x0f, 0x3a, 0xc3, 0x7f, 0x6d, 0x8e, 0x86, 0xcd, 0x52, 0x74, 0x8f, 0x55, 0x77, 0x17, 0xb7, 0x8e, 0xb7, 0x88, 0xea, 0xda, 0x1b}}}, 1161 {{{0xb6, 0xea, 0x0e, 0x40, 0x93, 0x20, 0x79, 0x35, 0x6a, 0x61, 0x84, 0x5a, 0x07, 0x6d, 0xf9, 0x77, 0x6f, 0xed, 0x69, 0x1c, 0x0d, 0x25, 0x76, 0xcc, 0xf0, 0xdb, 0xbb, 0xc5, 0xad, 0xe2, 0x26, 0x57}} , 1162 {{0xcf, 0xe8, 0x0e, 0x6b, 0x96, 0x7d, 0xed, 0x27, 0xd1, 0x3c, 0xa9, 0xd9, 0x50, 0xa9, 0x98, 0x84, 0x5e, 0x86, 0xef, 0xd6, 0xf0, 0xf8, 0x0e, 0x89, 0x05, 0x2f, 0xd9, 0x5f, 0x15, 0x5f, 0x73, 0x79}}}, 1163 {{{0xc8, 0x5c, 0x16, 0xfe, 0xed, 0x9f, 0x26, 0x56, 0xf6, 0x4b, 0x9f, 0xa7, 0x0a, 0x85, 0xfe, 0xa5, 0x8c, 0x87, 0xdd, 0x98, 0xce, 0x4e, 0xc3, 0x58, 0x55, 0xb2, 0x7b, 0x3d, 0xd8, 0x6b, 0xb5, 0x4c}} , 1164 {{0x65, 0x38, 0xa0, 0x15, 0xfa, 0xa7, 0xb4, 0x8f, 0xeb, 0xc4, 0x86, 0x9b, 0x30, 0xa5, 0x5e, 0x4d, 0xea, 0x8a, 0x9a, 0x9f, 0x1a, 0xd8, 0x5b, 0x53, 0x14, 0x19, 0x25, 0x63, 0xb4, 0x6f, 0x1f, 0x5d}}}, 1165 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1166 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1167 {{{0xac, 0x8f, 0xbc, 0x1e, 0x7d, 0x8b, 0x5a, 0x0b, 0x8d, 0xaf, 0x76, 0x2e, 0x71, 0xe3, 0x3b, 0x6f, 0x53, 0x2f, 0x3e, 0x90, 0x95, 0xd4, 0x35, 0x14, 0x4f, 0x8c, 0x3c, 0xce, 0x57, 0x1c, 0x76, 0x49}} , 1168 {{0xa8, 0x50, 0xe1, 0x61, 0x6b, 0x57, 0x35, 0xeb, 0x44, 0x0b, 0x0c, 0x6e, 0xf9, 0x25, 0x80, 0x74, 0xf2, 0x8f, 0x6f, 0x7a, 0x3e, 0x7f, 0x2d, 0xf3, 0x4e, 0x09, 0x65, 0x10, 0x5e, 0x03, 0x25, 0x32}}}, 1169 {{{0xa9, 0x60, 0xdc, 0x0f, 0x64, 0xe5, 0x1d, 0xe2, 0x8d, 0x4f, 0x79, 0x2f, 0x0e, 0x24, 0x02, 0x00, 0x05, 0x77, 0x43, 0x25, 0x3d, 0x6a, 0xc7, 0xb7, 0xbf, 0x04, 0x08, 0x65, 0xf4, 0x39, 0x4b, 0x65}} , 1170 {{0x96, 0x19, 0x12, 0x6b, 0x6a, 0xb7, 0xe3, 0xdc, 0x45, 0x9b, 0xdb, 0xb4, 0xa8, 0xae, 0xdc, 0xa8, 0x14, 0x44, 0x65, 0x62, 0xce, 0x34, 0x9a, 0x84, 0x18, 0x12, 0x01, 0xf1, 0xe2, 0x7b, 0xce, 0x50}}}, 1171 {{{0x41, 0x21, 0x30, 0x53, 0x1b, 0x47, 0x01, 0xb7, 0x18, 0xd8, 0x82, 0x57, 0xbd, 0xa3, 0x60, 0xf0, 0x32, 0xf6, 0x5b, 0xf0, 0x30, 0x88, 0x91, 0x59, 0xfd, 0x90, 0xa2, 0xb9, 0x55, 0x93, 0x21, 0x34}} , 1172 {{0x97, 0x67, 0x9e, 0xeb, 0x6a, 0xf9, 0x6e, 0xd6, 0x73, 0xe8, 0x6b, 0x29, 0xec, 0x63, 0x82, 0x00, 0xa8, 0x99, 0x1c, 0x1d, 0x30, 0xc8, 0x90, 0x52, 0x90, 0xb6, 0x6a, 0x80, 0x4e, 0xff, 0x4b, 0x51}}}, 1173 {{{0x0f, 0x7d, 0x63, 0x8c, 0x6e, 0x5c, 0xde, 0x30, 0xdf, 0x65, 0xfa, 0x2e, 0xb0, 0xa3, 0x25, 0x05, 0x54, 0xbd, 0x25, 0xba, 0x06, 0xae, 0xdf, 0x8b, 0xd9, 0x1b, 0xea, 0x38, 0xb3, 0x05, 0x16, 0x09}} , 1174 {{0xc7, 0x8c, 0xbf, 0x64, 0x28, 0xad, 0xf8, 0xa5, 0x5a, 0x6f, 0xc9, 0xba, 0xd5, 0x7f, 0xd5, 0xd6, 0xbd, 0x66, 0x2f, 0x3d, 0xaa, 0x54, 0xf6, 0xba, 0x32, 0x22, 0x9a, 0x1e, 0x52, 0x05, 0xf4, 0x1d}}}, 1175 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1176 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1177 {{{0xaa, 0x1f, 0xbb, 0xeb, 0xfe, 0xe4, 0x87, 0xfc, 0xb1, 0x2c, 0xb7, 0x88, 0xf4, 0xc6, 0xb9, 0xf5, 0x24, 0x46, 0xf2, 0xa5, 0x9f, 0x8f, 0x8a, 0x93, 0x70, 0x69, 0xd4, 0x56, 0xec, 0xfd, 0x06, 0x46}} , 1178 {{0x4e, 0x66, 0xcf, 0x4e, 0x34, 0xce, 0x0c, 0xd9, 0xa6, 0x50, 0xd6, 0x5e, 0x95, 0xaf, 0xe9, 0x58, 0xfa, 0xee, 0x9b, 0xb8, 0xa5, 0x0f, 0x35, 0xe0, 0x43, 0x82, 0x6d, 0x65, 0xe6, 0xd9, 0x00, 0x0f}}}, 1179 {{{0x7b, 0x75, 0x3a, 0xfc, 0x64, 0xd3, 0x29, 0x7e, 0xdd, 0x49, 0x9a, 0x59, 0x53, 0xbf, 0xb4, 0xa7, 0x52, 0xb3, 0x05, 0xab, 0xc3, 0xaf, 0x16, 0x1a, 0x85, 0x42, 0x32, 0xa2, 0x86, 0xfa, 0x39, 0x43}} , 1180 {{0x0e, 0x4b, 0xa3, 0x63, 0x8a, 0xfe, 0xa5, 0x58, 0xf1, 0x13, 0xbd, 0x9d, 0xaa, 0x7f, 0x76, 0x40, 0x70, 0x81, 0x10, 0x75, 0x99, 0xbb, 0xbe, 0x0b, 0x16, 0xe9, 0xba, 0x62, 0x34, 0xcc, 0x07, 0x6d}}}, 1181 {{{0xc3, 0xf1, 0xc6, 0x93, 0x65, 0xee, 0x0b, 0xbc, 0xea, 0x14, 0xf0, 0xc1, 0xf8, 0x84, 0x89, 0xc2, 0xc9, 0xd7, 0xea, 0x34, 0xca, 0xa7, 0xc4, 0x99, 0xd5, 0x50, 0x69, 0xcb, 0xd6, 0x21, 0x63, 0x7c}} , 1182 {{0x99, 0xeb, 0x7c, 0x31, 0x73, 0x64, 0x67, 0x7f, 0x0c, 0x66, 0xaa, 0x8c, 0x69, 0x91, 0xe2, 0x26, 0xd3, 0x23, 0xe2, 0x76, 0x5d, 0x32, 0x52, 0xdf, 0x5d, 0xc5, 0x8f, 0xb7, 0x7c, 0x84, 0xb3, 0x70}}}, 1183 {{{0xeb, 0x01, 0xc7, 0x36, 0x97, 0x4e, 0xb6, 0xab, 0x5f, 0x0d, 0x2c, 0xba, 0x67, 0x64, 0x55, 0xde, 0xbc, 0xff, 0xa6, 0xec, 0x04, 0xd3, 0x8d, 0x39, 0x56, 0x5e, 0xee, 0xf8, 0xe4, 0x2e, 0x33, 0x62}} , 1184 {{0x65, 0xef, 0xb8, 0x9f, 0xc8, 0x4b, 0xa7, 0xfd, 0x21, 0x49, 0x9b, 0x92, 0x35, 0x82, 0xd6, 0x0a, 0x9b, 0xf2, 0x79, 0xf1, 0x47, 0x2f, 0x6a, 0x7e, 0x9f, 0xcf, 0x18, 0x02, 0x3c, 0xfb, 0x1b, 0x3e}}}, 1185 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1186 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1187 {{{0x2f, 0x8b, 0xc8, 0x40, 0x51, 0xd1, 0xac, 0x1a, 0x0b, 0xe4, 0xa9, 0xa2, 0x42, 0x21, 0x19, 0x2f, 0x7b, 0x97, 0xbf, 0xf7, 0x57, 0x6d, 0x3f, 0x3d, 0x4f, 0x0f, 0xe2, 0xb2, 0x81, 0x00, 0x9e, 0x7b}} , 1188 {{0x8c, 0x85, 0x2b, 0xc4, 0xfc, 0xf1, 0xab, 0xe8, 0x79, 0x22, 0xc4, 0x84, 0x17, 0x3a, 0xfa, 0x86, 0xa6, 0x7d, 0xf9, 0xf3, 0x6f, 0x03, 0x57, 0x20, 0x4d, 0x79, 0xf9, 0x6e, 0x71, 0x54, 0x38, 0x09}}}, 1189 {{{0x40, 0x29, 0x74, 0xa8, 0x2f, 0x5e, 0xf9, 0x79, 0xa4, 0xf3, 0x3e, 0xb9, 0xfd, 0x33, 0x31, 0xac, 0x9a, 0x69, 0x88, 0x1e, 0x77, 0x21, 0x2d, 0xf3, 0x91, 0x52, 0x26, 0x15, 0xb2, 0xa6, 0xcf, 0x7e}} , 1190 {{0xc6, 0x20, 0x47, 0x6c, 0xa4, 0x7d, 0xcb, 0x63, 0xea, 0x5b, 0x03, 0xdf, 0x3e, 0x88, 0x81, 0x6d, 0xce, 0x07, 0x42, 0x18, 0x60, 0x7e, 0x7b, 0x55, 0xfe, 0x6a, 0xf3, 0xda, 0x5c, 0x8b, 0x95, 0x10}}}, 1191 {{{0x62, 0xe4, 0x0d, 0x03, 0xb4, 0xd7, 0xcd, 0xfa, 0xbd, 0x46, 0xdf, 0x93, 0x71, 0x10, 0x2c, 0xa8, 0x3b, 0xb6, 0x09, 0x05, 0x70, 0x84, 0x43, 0x29, 0xa8, 0x59, 0xf5, 0x8e, 0x10, 0xe4, 0xd7, 0x20}} , 1192 {{0x57, 0x82, 0x1c, 0xab, 0xbf, 0x62, 0x70, 0xe8, 0xc4, 0xcf, 0xf0, 0x28, 0x6e, 0x16, 0x3c, 0x08, 0x78, 0x89, 0x85, 0x46, 0x0f, 0xf6, 0x7f, 0xcf, 0xcb, 0x7e, 0xb8, 0x25, 0xe9, 0x5a, 0xfa, 0x03}}}, 1193 {{{0xfb, 0x95, 0x92, 0x63, 0x50, 0xfc, 0x62, 0xf0, 0xa4, 0x5e, 0x8c, 0x18, 0xc2, 0x17, 0x24, 0xb7, 0x78, 0xc2, 0xa9, 0xe7, 0x6a, 0x32, 0xd6, 0x29, 0x85, 0xaf, 0xcb, 0x8d, 0x91, 0x13, 0xda, 0x6b}} , 1194 {{0x36, 0x0a, 0xc2, 0xb6, 0x4b, 0xa5, 0x5d, 0x07, 0x17, 0x41, 0x31, 0x5f, 0x62, 0x46, 0xf8, 0x92, 0xf9, 0x66, 0x48, 0x73, 0xa6, 0x97, 0x0d, 0x7d, 0x88, 0xee, 0x62, 0xb1, 0x03, 0xa8, 0x3f, 0x2c}}}, 1195 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1196 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1197 {{{0x4a, 0xb1, 0x70, 0x8a, 0xa9, 0xe8, 0x63, 0x79, 0x00, 0xe2, 0x25, 0x16, 0xca, 0x4b, 0x0f, 0xa4, 0x66, 0xad, 0x19, 0x9f, 0x88, 0x67, 0x0c, 0x8b, 0xc2, 0x4a, 0x5b, 0x2b, 0x6d, 0x95, 0xaf, 0x19}} , 1198 {{0x8b, 0x9d, 0xb6, 0xcc, 0x60, 0xb4, 0x72, 0x4f, 0x17, 0x69, 0x5a, 0x4a, 0x68, 0x34, 0xab, 0xa1, 0x45, 0x32, 0x3c, 0x83, 0x87, 0x72, 0x30, 0x54, 0x77, 0x68, 0xae, 0xfb, 0xb5, 0x8b, 0x22, 0x5e}}}, 1199 {{{0xf1, 0xb9, 0x87, 0x35, 0xc5, 0xbb, 0xb9, 0xcf, 0xf5, 0xd6, 0xcd, 0xd5, 0x0c, 0x7c, 0x0e, 0xe6, 0x90, 0x34, 0xfb, 0x51, 0x42, 0x1e, 0x6d, 0xac, 0x9a, 0x46, 0xc4, 0x97, 0x29, 0x32, 0xbf, 0x45}} , 1200 {{0x66, 0x9e, 0xc6, 0x24, 0xc0, 0xed, 0xa5, 0x5d, 0x88, 0xd4, 0xf0, 0x73, 0x97, 0x7b, 0xea, 0x7f, 0x42, 0xff, 0x21, 0xa0, 0x9b, 0x2f, 0x9a, 0xfd, 0x53, 0x57, 0x07, 0x84, 0x48, 0x88, 0x9d, 0x52}}}, 1201 {{{0xc6, 0x96, 0x48, 0x34, 0x2a, 0x06, 0xaf, 0x94, 0x3d, 0xf4, 0x1a, 0xcf, 0xf2, 0xc0, 0x21, 0xc2, 0x42, 0x5e, 0xc8, 0x2f, 0x35, 0xa2, 0x3e, 0x29, 0xfa, 0x0c, 0x84, 0xe5, 0x89, 0x72, 0x7c, 0x06}} , 1202 {{0x32, 0x65, 0x03, 0xe5, 0x89, 0xa6, 0x6e, 0xb3, 0x5b, 0x8e, 0xca, 0xeb, 0xfe, 0x22, 0x56, 0x8b, 0x5d, 0x14, 0x4b, 0x4d, 0xf9, 0xbe, 0xb5, 0xf5, 0xe6, 0x5c, 0x7b, 0x8b, 0xf4, 0x13, 0x11, 0x34}}}, 1203 {{{0x07, 0xc6, 0x22, 0x15, 0xe2, 0x9c, 0x60, 0xa2, 0x19, 0xd9, 0x27, 0xae, 0x37, 0x4e, 0xa6, 0xc9, 0x80, 0xa6, 0x91, 0x8f, 0x12, 0x49, 0xe5, 0x00, 0x18, 0x47, 0xd1, 0xd7, 0x28, 0x22, 0x63, 0x39}} , 1204 {{0xe8, 0xe2, 0x00, 0x7e, 0xf2, 0x9e, 0x1e, 0x99, 0x39, 0x95, 0x04, 0xbd, 0x1e, 0x67, 0x7b, 0xb2, 0x26, 0xac, 0xe6, 0xaa, 0xe2, 0x46, 0xd5, 0xe4, 0xe8, 0x86, 0xbd, 0xab, 0x7c, 0x55, 0x59, 0x6f}}}, 1205 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1206 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1207 {{{0x24, 0x64, 0x6e, 0x9b, 0x35, 0x71, 0x78, 0xce, 0x33, 0x03, 0x21, 0x33, 0x36, 0xf1, 0x73, 0x9b, 0xb9, 0x15, 0x8b, 0x2c, 0x69, 0xcf, 0x4d, 0xed, 0x4f, 0x4d, 0x57, 0x14, 0x13, 0x82, 0xa4, 0x4d}} , 1208 {{0x65, 0x6e, 0x0a, 0xa4, 0x59, 0x07, 0x17, 0xf2, 0x6b, 0x4a, 0x1f, 0x6e, 0xf6, 0xb5, 0xbc, 0x62, 0xe4, 0xb6, 0xda, 0xa2, 0x93, 0xbc, 0x29, 0x05, 0xd2, 0xd2, 0x73, 0x46, 0x03, 0x16, 0x40, 0x31}}}, 1209 {{{0x4c, 0x73, 0x6d, 0x15, 0xbd, 0xa1, 0x4d, 0x5c, 0x13, 0x0b, 0x24, 0x06, 0x98, 0x78, 0x1c, 0x5b, 0xeb, 0x1f, 0x18, 0x54, 0x43, 0xd9, 0x55, 0x66, 0xda, 0x29, 0x21, 0xe8, 0xb8, 0x3c, 0x42, 0x22}} , 1210 {{0xb4, 0xcd, 0x08, 0x6f, 0x15, 0x23, 0x1a, 0x0b, 0x22, 0xed, 0xd1, 0xf1, 0xa7, 0xc7, 0x73, 0x45, 0xf3, 0x9e, 0xce, 0x76, 0xb7, 0xf6, 0x39, 0xb6, 0x8e, 0x79, 0xbe, 0xe9, 0x9b, 0xcf, 0x7d, 0x62}}}, 1211 {{{0x92, 0x5b, 0xfc, 0x72, 0xfd, 0xba, 0xf1, 0xfd, 0xa6, 0x7c, 0x95, 0xe3, 0x61, 0x3f, 0xe9, 0x03, 0xd4, 0x2b, 0xd4, 0x20, 0xd9, 0xdb, 0x4d, 0x32, 0x3e, 0xf5, 0x11, 0x64, 0xe3, 0xb4, 0xbe, 0x32}} , 1212 {{0x86, 0x17, 0x90, 0xe7, 0xc9, 0x1f, 0x10, 0xa5, 0x6a, 0x2d, 0x39, 0xd0, 0x3b, 0xc4, 0xa6, 0xe9, 0x59, 0x13, 0xda, 0x1a, 0xe6, 0xa0, 0xb9, 0x3c, 0x50, 0xb8, 0x40, 0x7c, 0x15, 0x36, 0x5a, 0x42}}}, 1213 {{{0xb4, 0x0b, 0x32, 0xab, 0xdc, 0x04, 0x51, 0x55, 0x21, 0x1e, 0x0b, 0x75, 0x99, 0x89, 0x73, 0x35, 0x3a, 0x91, 0x2b, 0xfe, 0xe7, 0x49, 0xea, 0x76, 0xc1, 0xf9, 0x46, 0xb9, 0x53, 0x02, 0x23, 0x04}} , 1214 {{0xfc, 0x5a, 0x1e, 0x1d, 0x74, 0x58, 0x95, 0xa6, 0x8f, 0x7b, 0x97, 0x3e, 0x17, 0x3b, 0x79, 0x2d, 0xa6, 0x57, 0xef, 0x45, 0x02, 0x0b, 0x4d, 0x6e, 0x9e, 0x93, 0x8d, 0x2f, 0xd9, 0x9d, 0xdb, 0x04}}}, 1215 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1216 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1217 {{{0xc0, 0xd7, 0x56, 0x97, 0x58, 0x91, 0xde, 0x09, 0x4f, 0x9f, 0xbe, 0x63, 0xb0, 0x83, 0x86, 0x43, 0x5d, 0xbc, 0xe0, 0xf3, 0xc0, 0x75, 0xbf, 0x8b, 0x8e, 0xaa, 0xf7, 0x8b, 0x64, 0x6e, 0xb0, 0x63}} , 1218 {{0x16, 0xae, 0x8b, 0xe0, 0x9b, 0x24, 0x68, 0x5c, 0x44, 0xc2, 0xd0, 0x08, 0xb7, 0x7b, 0x62, 0xfd, 0x7f, 0xd8, 0xd4, 0xb7, 0x50, 0xfd, 0x2c, 0x1b, 0xbf, 0x41, 0x95, 0xd9, 0x8e, 0xd8, 0x17, 0x1b}}}, 1219 {{{0x86, 0x55, 0x37, 0x8e, 0xc3, 0x38, 0x48, 0x14, 0xb5, 0x97, 0xd2, 0xa7, 0x54, 0x45, 0xf1, 0x35, 0x44, 0x38, 0x9e, 0xf1, 0x1b, 0xb6, 0x34, 0x00, 0x3c, 0x96, 0xee, 0x29, 0x00, 0xea, 0x2c, 0x0b}} , 1220 {{0xea, 0xda, 0x99, 0x9e, 0x19, 0x83, 0x66, 0x6d, 0xe9, 0x76, 0x87, 0x50, 0xd1, 0xfd, 0x3c, 0x60, 0x87, 0xc6, 0x41, 0xd9, 0x8e, 0xdb, 0x5e, 0xde, 0xaa, 0x9a, 0xd3, 0x28, 0xda, 0x95, 0xea, 0x47}}}, 1221 {{{0xd0, 0x80, 0xba, 0x19, 0xae, 0x1d, 0xa9, 0x79, 0xf6, 0x3f, 0xac, 0x5d, 0x6f, 0x96, 0x1f, 0x2a, 0xce, 0x29, 0xb2, 0xff, 0x37, 0xf1, 0x94, 0x8f, 0x0c, 0xb5, 0x28, 0xba, 0x9a, 0x21, 0xf6, 0x66}} , 1222 {{0x02, 0xfb, 0x54, 0xb8, 0x05, 0xf3, 0x81, 0x52, 0x69, 0x34, 0x46, 0x9d, 0x86, 0x76, 0x8f, 0xd7, 0xf8, 0x6a, 0x66, 0xff, 0xe6, 0xa7, 0x90, 0xf7, 0x5e, 0xcd, 0x6a, 0x9b, 0x55, 0xfc, 0x9d, 0x48}}}, 1223 {{{0xbd, 0xaa, 0x13, 0xe6, 0xcd, 0x45, 0x4a, 0xa4, 0x59, 0x0a, 0x64, 0xb1, 0x98, 0xd6, 0x34, 0x13, 0x04, 0xe6, 0x97, 0x94, 0x06, 0xcb, 0xd4, 0x4e, 0xbb, 0x96, 0xcd, 0xd1, 0x57, 0xd1, 0xe3, 0x06}} , 1224 {{0x7a, 0x6c, 0x45, 0x27, 0xc4, 0x93, 0x7f, 0x7d, 0x7c, 0x62, 0x50, 0x38, 0x3a, 0x6b, 0xb5, 0x88, 0xc6, 0xd9, 0xf1, 0x78, 0x19, 0xb9, 0x39, 0x93, 0x3d, 0xc9, 0xe0, 0x9c, 0x3c, 0xce, 0xf5, 0x72}}}, 1225 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1226 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1227 {{{0x24, 0xea, 0x23, 0x7d, 0x56, 0x2c, 0xe2, 0x59, 0x0e, 0x85, 0x60, 0x04, 0x88, 0x5a, 0x74, 0x1e, 0x4b, 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0x63, 0x97, 0x58, 0x06}} , 1282 {{0x0c, 0x0e, 0xf3, 0xba, 0xf0, 0xe5, 0xba, 0xb2, 0x57, 0x77, 0xc6, 0x20, 0x9b, 0x89, 0x24, 0xbe, 0xf2, 0x9c, 0x8a, 0xba, 0x69, 0xc1, 0xf1, 0xb0, 0x4f, 0x2a, 0x05, 0x9a, 0xee, 0x10, 0x7e, 0x36}}}, 1283 {{{0x3f, 0x26, 0xe9, 0x40, 0xe9, 0x03, 0xad, 0x06, 0x69, 0x91, 0xe0, 0xd1, 0x89, 0x60, 0x84, 0x79, 0xde, 0x27, 0x6d, 0xe6, 0x76, 0xbd, 0xea, 0xe6, 0xae, 0x48, 0xc3, 0x67, 0xc0, 0x57, 0xcd, 0x2f}} , 1284 {{0x7f, 0xc1, 0xdc, 0xb9, 0xc7, 0xbc, 0x86, 0x3d, 0x55, 0x4b, 0x28, 0x7a, 0xfb, 0x4d, 0xc7, 0xf8, 0xbc, 0x67, 0x2a, 0x60, 0x4d, 0x8f, 0x07, 0x0b, 0x1a, 0x17, 0xbf, 0xfa, 0xac, 0xa7, 0x3d, 0x1a}}}, 1285 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1286 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0x24, 0x7b, 0x43, 0x78, 0x55, 0x1d, 0x2b, 0x1e}} , 1292 {{0x01, 0xb8, 0xd6, 0x16, 0x67, 0xa0, 0x15, 0xb9, 0xe1, 0x58, 0xa4, 0xa7, 0x31, 0x37, 0x77, 0x2f, 0x8b, 0x12, 0x9f, 0xf4, 0x3f, 0xc7, 0x36, 0x66, 0xd2, 0xa8, 0x56, 0xf7, 0x7f, 0x74, 0xc6, 0x41}}}, 1293 {{{0x5d, 0xf8, 0xb4, 0xa8, 0x30, 0xdd, 0xcc, 0x38, 0xa5, 0xd3, 0xca, 0xd8, 0xd1, 0xf8, 0xb2, 0x31, 0x91, 0xd4, 0x72, 0x05, 0x57, 0x4a, 0x3b, 0x82, 0x4a, 0xc6, 0x68, 0x20, 0xe2, 0x18, 0x41, 0x61}} , 1294 {{0x19, 0xd4, 0x8d, 0x47, 0x29, 0x12, 0x65, 0xb0, 0x11, 0x78, 0x47, 0xb5, 0xcb, 0xa3, 0xa5, 0xfa, 0x05, 0x85, 0x54, 0xa9, 0x33, 0x97, 0x8d, 0x2b, 0xc2, 0xfe, 0x99, 0x35, 0x28, 0xe5, 0xeb, 0x63}}}, 1295 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1296 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0x74, 0x0b, 0x13, 0x43, 0x00, 0xd8, 0x6b, 0xcf, 0xd2, 0x15, 0x03, 0x2c}} , 1302 {{0xdc, 0xff, 0x15, 0x61, 0x2f, 0x4a, 0x2f, 0x62, 0xf2, 0x04, 0x2f, 0xb5, 0x0c, 0xb7, 0x1e, 0x3f, 0x74, 0x1a, 0x0f, 0xd7, 0xea, 0xcd, 0xd9, 0x7d, 0xf6, 0x12, 0x0e, 0x2f, 0xdb, 0x5a, 0x3b, 0x16}}}, 1303 {{{0x1b, 0x37, 0x47, 0xe3, 0xf5, 0x9e, 0xea, 0x2c, 0x2a, 0xe7, 0x82, 0x36, 0xf4, 0x1f, 0x81, 0x47, 0x92, 0x4b, 0x69, 0x0e, 0x11, 0x8c, 0x5d, 0x53, 0x5b, 0x81, 0x27, 0x08, 0xbc, 0xa0, 0xae, 0x25}} , 1304 {{0x69, 0x32, 0xa1, 0x05, 0x11, 0x42, 0x00, 0xd2, 0x59, 0xac, 0x4d, 0x62, 0x8b, 0x13, 0xe2, 0x50, 0x5d, 0xa0, 0x9d, 0x9b, 0xfd, 0xbb, 0x12, 0x41, 0x75, 0x41, 0x9e, 0xcc, 0xdc, 0xc7, 0xdc, 0x5d}}}, 1305 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1306 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0x76, 0x4d, 0x56, 0x21, 0x5b, 0x0a, 0x9b, 0x2e, 0x4f, 0x3d, 0x81, 0x32, 0x08, 0x9f, 0x97, 0x5b}} , 1312 {{0xe5, 0x44, 0xec, 0x06, 0x9d, 0x90, 0x79, 0x9f, 0xd3, 0xe0, 0x79, 0xaf, 0x8f, 0x10, 0xfd, 0xdd, 0x04, 0xae, 0x27, 0x97, 0x46, 0x33, 0x79, 0xea, 0xb8, 0x4e, 0xca, 0x5a, 0x59, 0x57, 0xe1, 0x0e}}}, 1313 {{{0x1a, 0xda, 0xf3, 0xa5, 0x41, 0x43, 0x28, 0xfc, 0x7e, 0xe7, 0x71, 0xea, 0xc6, 0x3b, 0x59, 0xcc, 0x2e, 0xd3, 0x40, 0xec, 0xb3, 0x13, 0x6f, 0x44, 0xcd, 0x13, 0xb2, 0x37, 0xf2, 0x6e, 0xd9, 0x1c}} , 1314 {{0xe3, 0xdb, 0x60, 0xcd, 0x5c, 0x4a, 0x18, 0x0f, 0xef, 0x73, 0x36, 0x71, 0x8c, 0xf6, 0x11, 0xb4, 0xd8, 0xce, 0x17, 0x5e, 0x4f, 0x26, 0x77, 0x97, 0x5f, 0xcb, 0xef, 0x91, 0xeb, 0x6a, 0x62, 0x7a}}}, 1315 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1316 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0xf1, 0x19, 0xa6, 0x84, 0x2e, 0x51, 0xc1, 0x29, 0x13, 0xf2, 0x14, 0x6b, 0x5d, 0x53, 0x51, 0xf7, 0xef, 0xbf, 0x01, 0x22}} , 1322 {{0xa4, 0x4b, 0x62, 0x4c, 0xe6, 0xfd, 0x72, 0x07, 0xf2, 0x81, 0xfc, 0xf2, 0xbd, 0x12, 0x7c, 0x68, 0x76, 0x2a, 0xba, 0xf5, 0x65, 0xb1, 0x1f, 0x17, 0x0a, 0x38, 0xb0, 0xbf, 0xc0, 0xf8, 0xf4, 0x2a}}}, 1323 {{{0x55, 0x60, 0x55, 0x5b, 0xe4, 0x1d, 0x71, 0x4c, 0x9d, 0x5b, 0x9f, 0x70, 0xa6, 0x85, 0x9a, 0x2c, 0xa0, 0xe2, 0x32, 0x48, 0xce, 0x9e, 0x2a, 0xa5, 0x07, 0x3b, 0xc7, 0x6c, 0x86, 0x77, 0xde, 0x3c}} , 1324 {{0xf7, 0x18, 0x7a, 0x96, 0x7e, 0x43, 0x57, 0xa9, 0x55, 0xfc, 0x4e, 0xb6, 0x72, 0x00, 0xf2, 0xe4, 0xd7, 0x52, 0xd3, 0xd3, 0xb6, 0x85, 0xf6, 0x71, 0xc7, 0x44, 0x3f, 0x7f, 0xd7, 0xb3, 0xf2, 0x79}}}, 1325 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1326 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0x26, 0xd0, 0x84, 0xed, 0x8a, 0x80, 0xf7, 0x63, 0x42, 0x86, 0x27, 0xd7, 0xf4, 0x75, 0x58, 0xdc, 0x9c, 0xc0, 0x22, 0x7e, 0x20, 0x35, 0xfd, 0x1f}} , 1332 {{0x68, 0x0e, 0x6f, 0x97, 0xba, 0x70, 0xbb, 0xa3, 0x0e, 0xe5, 0x0b, 0x12, 0xf4, 0xa2, 0xdc, 0x47, 0xf8, 0xe6, 0xd0, 0x23, 0x6c, 0x33, 0xa8, 0x99, 0x46, 0x6e, 0x0f, 0x44, 0xba, 0x76, 0x48, 0x0f}}}, 1333 {{{0xa3, 0x2a, 0x61, 0x37, 0xe2, 0x59, 0x12, 0x0e, 0x27, 0xba, 0x64, 0x43, 0xae, 0xc0, 0x42, 0x69, 0x79, 0xa4, 0x1e, 0x29, 0x8b, 0x15, 0xeb, 0xf8, 0xaf, 0xd4, 0xa2, 0x68, 0x33, 0xb5, 0x7a, 0x24}} , 1334 {{0x2c, 0x19, 0x33, 0xdd, 0x1b, 0xab, 0xec, 0x01, 0xb0, 0x23, 0xf8, 0x42, 0x2b, 0x06, 0x88, 0xea, 0x3d, 0x2d, 0x00, 0x2a, 0x78, 0x45, 0x4d, 0x38, 0xed, 0x2e, 0x2e, 0x44, 0x49, 0xed, 0xcb, 0x33}}}, 1335 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1336 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 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0x62, 0x1c, 0x17, 0xb4, 0x60, 0xc4, 0x26, 0x68, 0x09, 0xc3, 0x2e, 0x37, 0x0f, 0x7b, 0xb4, 0x9c, 0xb6, 0xf9, 0xfb, 0xd4, 0x51, 0x78, 0xc8, 0x63, 0xea, 0x77, 0x47, 0x07}} , 1342 {{0x32, 0xb4, 0x18, 0x47, 0x79, 0xcb, 0xd4, 0x5a, 0x07, 0x14, 0x0f, 0xa0, 0xd5, 0xac, 0xd0, 0x41, 0x40, 0xab, 0x61, 0x23, 0xe5, 0x2a, 0x2a, 0x6f, 0xf7, 0xa8, 0xd4, 0x76, 0xef, 0xe7, 0x45, 0x6c}}}, 1343 {{{0xa1, 0x5e, 0x60, 0x4f, 0xfb, 0xe1, 0x70, 0x6a, 0x1f, 0x55, 0x4f, 0x09, 0xb4, 0x95, 0x33, 0x36, 0xc6, 0x81, 0x01, 0x18, 0x06, 0x25, 0x27, 0xa4, 0xb4, 0x24, 0xa4, 0x86, 0x03, 0x4c, 0xac, 0x02}} , 1344 {{0x77, 0x38, 0xde, 0xd7, 0x60, 0x48, 0x07, 0xf0, 0x74, 0xa8, 0xff, 0x54, 0xe5, 0x30, 0x43, 0xff, 0x77, 0xfb, 0x21, 0x07, 0xff, 0xb2, 0x07, 0x6b, 0xe4, 0xe5, 0x30, 0xfc, 0x19, 0x6c, 0xa3, 0x01}}}, 1345 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1346 {{0x01, 0x00, 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{{{0xd4, 0xca, 0x70, 0x3d, 0xab, 0xfb, 0x5f, 0x5e, 0x00, 0x0c, 0xcc, 0x77, 0x22, 0xf8, 0x78, 0x55, 0xae, 0x62, 0x35, 0xfb, 0x9a, 0xc6, 0x03, 0xe4, 0x0c, 0xee, 0xab, 0xc7, 0xc0, 0x89, 0x87, 0x54}} , 1352 {{0x32, 0xad, 0xae, 0x85, 0x58, 0x43, 0xb8, 0xb1, 0xe6, 0x3e, 0x00, 0x9c, 0x78, 0x88, 0x56, 0xdb, 0x9c, 0xfc, 0x79, 0xf6, 0xf9, 0x41, 0x5f, 0xb7, 0xbc, 0x11, 0xf9, 0x20, 0x36, 0x1c, 0x53, 0x2b}}}, 1353 {{{0x5a, 0x20, 0x5b, 0xa1, 0xa5, 0x44, 0x91, 0x24, 0x02, 0x63, 0x12, 0x64, 0xb8, 0x55, 0xf6, 0xde, 0x2c, 0xdb, 0x47, 0xb8, 0xc6, 0x0a, 0xc3, 0x00, 0x78, 0x93, 0xd8, 0xf5, 0xf5, 0x18, 0x28, 0x0a}} , 1354 {{0xd6, 0x1b, 0x9a, 0x6c, 0xe5, 0x46, 0xea, 0x70, 0x96, 0x8d, 0x4e, 0x2a, 0x52, 0x21, 0x26, 0x4b, 0xb1, 0xbb, 0x0f, 0x7c, 0xa9, 0x9b, 0x04, 0xbb, 0x51, 0x08, 0xf1, 0x9a, 0xa4, 0x76, 0x7c, 0x18}}}, 1355 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1356 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1357 {{{0xfa, 0x94, 0xf7, 0x40, 0xd0, 0xd7, 0xeb, 0xa9, 0x82, 0x36, 0xd5, 0x15, 0xb9, 0x33, 0x7a, 0xbf, 0x8a, 0xf2, 0x63, 0xaa, 0x37, 0xf5, 0x59, 0xac, 0xbd, 0xbb, 0x32, 0x36, 0xbe, 0x73, 0x99, 0x38}} , 1358 {{0x2c, 0xb3, 0xda, 0x7a, 0xd8, 0x3d, 0x99, 0xca, 0xd2, 0xf4, 0xda, 0x99, 0x8e, 0x4f, 0x98, 0xb7, 0xf4, 0xae, 0x3e, 0x9f, 0x8e, 0x35, 0x60, 0xa4, 0x33, 0x75, 0xa4, 0x04, 0x93, 0xb1, 0x6b, 0x4d}}}, 1359 {{{0x97, 0x9d, 0xa8, 0xcd, 0x97, 0x7b, 0x9d, 0xb9, 0xe7, 0xa5, 0xef, 0xfd, 0xa8, 0x42, 0x6b, 0xc3, 0x62, 0x64, 0x7d, 0xa5, 0x1b, 0xc9, 0x9e, 0xd2, 0x45, 0xb9, 0xee, 0x03, 0xb0, 0xbf, 0xc0, 0x68}} , 1360 {{0xed, 0xb7, 0x84, 0x2c, 0xf6, 0xd3, 0xa1, 0x6b, 0x24, 0x6d, 0x87, 0x56, 0x97, 0x59, 0x79, 0x62, 0x9f, 0xac, 0xed, 0xf3, 0xc9, 0x89, 0x21, 0x2e, 0x04, 0xb3, 0xcc, 0x2f, 0xbe, 0xd6, 0x0a, 0x4b}}}, 1361 {{{0x39, 0x61, 0x05, 0xed, 0x25, 0x89, 0x8b, 0x5d, 0x1b, 0xcb, 0x0c, 0x55, 0xf4, 0x6a, 0x00, 0x8a, 0x46, 0xe8, 0x1e, 0xc6, 0x83, 0xc8, 0x5a, 0x76, 0xdb, 0xcc, 0x19, 0x7a, 0xcc, 0x67, 0x46, 0x0b}} , 1362 {{0x53, 0xcf, 0xc2, 0xa1, 0xad, 0x6a, 0xf3, 0xcd, 0x8f, 0xc9, 0xde, 0x1c, 0xf8, 0x6c, 0x8f, 0xf8, 0x76, 0x42, 0xe7, 0xfe, 0xb2, 0x72, 0x21, 0x0a, 0x66, 0x74, 0x8f, 0xb7, 0xeb, 0xe4, 0x6f, 0x01}}}, 1363 {{{0x22, 0x8c, 0x6b, 0xbe, 0xfc, 0x4d, 0x70, 0x62, 0x6e, 0x52, 0x77, 0x99, 0x88, 0x7e, 0x7b, 0x57, 0x7a, 0x0d, 0xfe, 0xdc, 0x72, 0x92, 0xf1, 0x68, 0x1d, 0x97, 0xd7, 0x7c, 0x8d, 0x53, 0x10, 0x37}} , 1364 {{0x53, 0x88, 0x77, 0x02, 0xca, 0x27, 0xa8, 0xe5, 0x45, 0xe2, 0xa8, 0x48, 0x2a, 0xab, 0x18, 0xca, 0xea, 0x2d, 0x2a, 0x54, 0x17, 0x37, 0x32, 0x09, 0xdc, 0xe0, 0x4a, 0xb7, 0x7d, 0x82, 0x10, 0x7d}}}, 1365 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0xcd, 0xee, 0x4f, 0x49, 0xe5, 0xc9, 0x7e}}}, 1371 {{{0x21, 0xac, 0x8b, 0x22, 0xcd, 0xc3, 0x9a, 0xe9, 0x5e, 0x78, 0xbd, 0xde, 0xba, 0xad, 0xab, 0xbf, 0x75, 0x41, 0x09, 0xc5, 0x58, 0xa4, 0x7d, 0x92, 0xb0, 0x7f, 0xf2, 0xa1, 0xd1, 0xc0, 0xb3, 0x6d}} , 1372 {{0x62, 0x4f, 0xd0, 0x75, 0x77, 0xba, 0x76, 0x77, 0xd7, 0xb8, 0xd8, 0x92, 0x6f, 0x98, 0x34, 0x3d, 0xd6, 0x4e, 0x1c, 0x0f, 0xf0, 0x8f, 0x2e, 0xf1, 0xb3, 0xbd, 0xb1, 0xb9, 0xec, 0x99, 0xb4, 0x07}}}, 1373 {{{0x60, 0x57, 0x2e, 0x9a, 0x72, 0x1d, 0x6b, 0x6e, 0x58, 0x33, 0x24, 0x8c, 0x48, 0x39, 0x46, 0x8e, 0x89, 0x6a, 0x88, 0x51, 0x23, 0x62, 0xb5, 0x32, 0x09, 0x36, 0xe3, 0x57, 0xf5, 0x98, 0xde, 0x6f}} , 1374 {{0x8b, 0x2c, 0x00, 0x48, 0x4a, 0xf9, 0x5b, 0x87, 0x69, 0x52, 0xe5, 0x5b, 0xd1, 0xb1, 0xe5, 0x25, 0x25, 0xe0, 0x9c, 0xc2, 0x13, 0x44, 0xe8, 0xb9, 0x0a, 0x70, 0xad, 0xbd, 0x0f, 0x51, 0x94, 0x69}}}, 1375 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1376 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1377 {{{0xa2, 0xdc, 0xab, 0xa9, 0x25, 0x2d, 0xac, 0x5f, 0x03, 0x33, 0x08, 0xe7, 0x7e, 0xfe, 0x95, 0x36, 0x3c, 0x5b, 0x3a, 0xd3, 0x05, 0x82, 0x1c, 0x95, 0x2d, 0xd8, 0x77, 0x7e, 0x02, 0xd9, 0x5b, 0x70}} , 1378 {{0xc2, 0xfe, 0x1b, 0x0c, 0x67, 0xcd, 0xd6, 0xe0, 0x51, 0x8e, 0x2c, 0xe0, 0x79, 0x88, 0xf0, 0xcf, 0x41, 0x4a, 0xad, 0x23, 0xd4, 0x46, 0xca, 0x94, 0xa1, 0xc3, 0xeb, 0x28, 0x06, 0xfa, 0x17, 0x14}}}, 1379 {{{0x7b, 0xaa, 0x70, 0x0a, 0x4b, 0xfb, 0xf5, 0xbf, 0x80, 0xc5, 0xcf, 0x08, 0x7a, 0xdd, 0xa1, 0xf4, 0x9d, 0x54, 0x50, 0x53, 0x23, 0x77, 0x23, 0xf5, 0x34, 0xa5, 0x22, 0xd1, 0x0d, 0x96, 0x2e, 0x47}} , 1380 {{0xcc, 0xb7, 0x32, 0x89, 0x57, 0xd0, 0x98, 0x75, 0xe4, 0x37, 0x99, 0xa9, 0xe8, 0xba, 0xed, 0xba, 0xeb, 0xc7, 0x4f, 0x15, 0x76, 0x07, 0x0c, 0x4c, 0xef, 0x9f, 0x52, 0xfc, 0x04, 0x5d, 0x58, 0x10}}}, 1381 {{{0xce, 0x82, 0xf0, 0x8f, 0x79, 0x02, 0xa8, 0xd1, 0xda, 0x14, 0x09, 0x48, 0xee, 0x8a, 0x40, 0x98, 0x76, 0x60, 0x54, 0x5a, 0xde, 0x03, 0x24, 0xf5, 0xe6, 0x2f, 0xe1, 0x03, 0xbf, 0x68, 0x82, 0x7f}} , 1382 {{0x64, 0xe9, 0x28, 0xc7, 0xa4, 0xcf, 0x2a, 0xf9, 0x90, 0x64, 0x72, 0x2c, 0x8b, 0xeb, 0xec, 0xa0, 0xf2, 0x7d, 0x35, 0xb5, 0x90, 0x4d, 0x7f, 0x5b, 0x4a, 0x49, 0xe4, 0xb8, 0x3b, 0xc8, 0xa1, 0x2f}}}, 1383 {{{0x8b, 0xc5, 0xcc, 0x3d, 0x69, 0xa6, 0xa1, 0x18, 0x44, 0xbc, 0x4d, 0x77, 0x37, 0xc7, 0x86, 0xec, 0x0c, 0xc9, 0xd6, 0x44, 0xa9, 0x23, 0x27, 0xb9, 0x03, 0x34, 0xa7, 0x0a, 0xd5, 0xc7, 0x34, 0x37}} , 1384 {{0xf9, 0x7e, 0x3e, 0x66, 0xee, 0xf9, 0x99, 0x28, 0xff, 0xad, 0x11, 0xd8, 0xe2, 0x66, 0xc5, 0xcd, 0x0f, 0x0d, 0x0b, 0x6a, 0xfc, 0x7c, 0x24, 0xa8, 0x4f, 0xa8, 0x5e, 0x80, 0x45, 0x8b, 0x6c, 0x41}}}, 1385 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1386 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1387 {{{0xef, 0x1e, 0xec, 0xf7, 0x8d, 0x77, 0xf2, 0xea, 0xdb, 0x60, 0x03, 0x21, 0xc0, 0xff, 0x5e, 0x67, 0xc3, 0x71, 0x0b, 0x21, 0xb4, 0x41, 0xa0, 0x68, 0x38, 0xc6, 0x01, 0xa3, 0xd3, 0x51, 0x3c, 0x3c}} , 1388 {{0x92, 0xf8, 0xd6, 0x4b, 0xef, 0x42, 0x13, 0xb2, 0x4a, 0xc4, 0x2e, 0x72, 0x3f, 0xc9, 0x11, 0xbd, 0x74, 0x02, 0x0e, 0xf5, 0x13, 0x9d, 0x83, 0x1a, 0x1b, 0xd5, 0x54, 0xde, 0xc4, 0x1e, 0x16, 0x6c}}}, 1389 {{{0x27, 0x52, 0xe4, 0x63, 0xaa, 0x94, 0xe6, 0xc3, 0x28, 0x9c, 0xc6, 0x56, 0xac, 0xfa, 0xb6, 0xbd, 0xe2, 0xcc, 0x76, 0xc6, 0x27, 0x27, 0xa2, 0x8e, 0x78, 0x2b, 0x84, 0x72, 0x10, 0xbd, 0x4e, 0x2a}} , 1390 {{0xea, 0xa7, 0x23, 0xef, 0x04, 0x61, 0x80, 0x50, 0xc9, 0x6e, 0xa5, 0x96, 0xd1, 0xd1, 0xc8, 0xc3, 0x18, 0xd7, 0x2d, 0xfd, 0x26, 0xbd, 0xcb, 0x7b, 0x92, 0x51, 0x0e, 0x4a, 0x65, 0x57, 0xb8, 0x49}}}, 1391 {{{0xab, 0x55, 0x36, 0xc3, 0xec, 0x63, 0x55, 0x11, 0x55, 0xf6, 0xa5, 0xc7, 0x01, 0x5f, 0xfe, 0x79, 0xd8, 0x0a, 0xf7, 0x03, 0xd8, 0x98, 0x99, 0xf5, 0xd0, 0x00, 0x54, 0x6b, 0x66, 0x28, 0xf5, 0x25}} , 1392 {{0x7a, 0x8d, 0xa1, 0x5d, 0x70, 0x5d, 0x51, 0x27, 0xee, 0x30, 0x65, 0x56, 0x95, 0x46, 0xde, 0xbd, 0x03, 0x75, 0xb4, 0x57, 0x59, 0x89, 0xeb, 0x02, 0x9e, 0xcc, 0x89, 0x19, 0xa7, 0xcb, 0x17, 0x67}}}, 1393 {{{0x6a, 0xeb, 0xfc, 0x9a, 0x9a, 0x10, 0xce, 0xdb, 0x3a, 0x1c, 0x3c, 0x6a, 0x9d, 0xea, 0x46, 0xbc, 0x45, 0x49, 0xac, 0xe3, 0x41, 0x12, 0x7c, 0xf0, 0xf7, 0x4f, 0xf9, 0xf7, 0xff, 0x2c, 0x89, 0x04}} , 1394 {{0x30, 0x31, 0x54, 0x1a, 0x46, 0xca, 0xe6, 0xc6, 0xcb, 0xe2, 0xc3, 0xc1, 0x8b, 0x75, 0x81, 0xbe, 0xee, 0xf8, 0xa3, 0x11, 0x1c, 0x25, 0xa3, 0xa7, 0x35, 0x51, 0x55, 0xe2, 0x25, 0xaa, 0xe2, 0x3a}}}, 1395 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0x17, 0xaf, 0x16, 0xc0, 0x52, 0x99, 0x49, 0x5b, 0x87, 0x73, 0x7e, 0xb5, 0x43, 0xda, 0x6b, 0x1d, 0x0f, 0x2d, 0x55}}}, 1401 {{{0xe9, 0x58, 0x1f, 0xff, 0x84, 0x3f, 0x93, 0x1c, 0xcb, 0xe1, 0x30, 0x69, 0xa5, 0x75, 0x19, 0x7e, 0x14, 0x5f, 0xf8, 0xfc, 0x09, 0xdd, 0xa8, 0x78, 0x9d, 0xca, 0x59, 0x8b, 0xd1, 0x30, 0x01, 0x13}} , 1402 {{0xff, 0x76, 0x03, 0xc5, 0x4b, 0x89, 0x99, 0x70, 0x00, 0x59, 0x70, 0x9c, 0xd5, 0xd9, 0x11, 0x89, 0x5a, 0x46, 0xfe, 0xef, 0xdc, 0xd9, 0x55, 0x2b, 0x45, 0xa7, 0xb0, 0x2d, 0xfb, 0x24, 0xc2, 0x29}}}, 1403 {{{0x38, 0x06, 0xf8, 0x0b, 0xac, 0x82, 0xc4, 0x97, 0x2b, 0x90, 0xe0, 0xf7, 0xa8, 0xab, 0x6c, 0x08, 0x80, 0x66, 0x90, 0x46, 0xf7, 0x26, 0x2d, 0xf8, 0xf1, 0xc4, 0x6b, 0x4a, 0x82, 0x98, 0x8e, 0x37}} , 1404 {{0x8e, 0xb4, 0xee, 0xb8, 0xd4, 0x3f, 0xb2, 0x1b, 0xe0, 0x0a, 0x3d, 0x75, 0x34, 0x28, 0xa2, 0x8e, 0xc4, 0x92, 0x7b, 0xfe, 0x60, 0x6e, 0x6d, 0xb8, 0x31, 0x1d, 0x62, 0x0d, 0x78, 0x14, 0x42, 0x11}}}, 1405 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0x78, 0xc0, 0xd8, 0x16, 0x17, 0x2d, 0x9e, 0xa9, 0xc9, 0x79, 0x57, 0xab, 0x24, 0x91, 0x92, 0x19}} , 1638 {{0x69, 0xfb, 0xa1, 0x9c, 0xa6, 0x75, 0x49, 0x7d, 0x60, 0x73, 0x40, 0x42, 0xc4, 0x13, 0x0a, 0x95, 0x79, 0x1e, 0x04, 0x83, 0x94, 0x99, 0x9b, 0x1e, 0x0c, 0xe8, 0x1f, 0x54, 0xef, 0xcb, 0xc0, 0x52}}}, 1639 {{{0x14, 0x89, 0x73, 0xa1, 0x37, 0x87, 0x6a, 0x7a, 0xcf, 0x1d, 0xd9, 0x2e, 0x1a, 0x67, 0xed, 0x74, 0xc0, 0xf0, 0x9c, 0x33, 0xdd, 0xdf, 0x08, 0xbf, 0x7b, 0xd1, 0x66, 0xda, 0xe6, 0xc9, 0x49, 0x08}} , 1640 {{0xe9, 0xdd, 0x5e, 0x55, 0xb0, 0x0a, 0xde, 0x21, 0x4c, 0x5a, 0x2e, 0xd4, 0x80, 0x3a, 0x57, 0x92, 0x7a, 0xf1, 0xc4, 0x2c, 0x40, 0xaf, 0x2f, 0xc9, 0x92, 0x03, 0xe5, 0x5a, 0xbc, 0xdc, 0xf4, 0x09}}}, 1641 {{{0xf3, 0xe1, 0x2b, 0x7c, 0x05, 0x86, 0x80, 0x93, 0x4a, 0xad, 0xb4, 0x8f, 0x7e, 0x99, 0x0c, 0xfd, 0xcd, 0xef, 0xd1, 0xff, 0x2c, 0x69, 0x34, 0x13, 0x41, 0x64, 0xcf, 0x3b, 0xd0, 0x90, 0x09, 0x1e}} , 1642 {{0x9d, 0x45, 0xd6, 0x80, 0xe6, 0x45, 0xaa, 0xf4, 0x15, 0xaa, 0x5c, 0x34, 0x87, 0x99, 0xa2, 0x8c, 0x26, 0x84, 0x62, 0x7d, 0xb6, 0x29, 0xc0, 0x52, 0xea, 0xf5, 0x81, 0x18, 0x0f, 0x35, 0xa9, 0x0e}}}, 1643 {{{0xe7, 0x20, 0x72, 0x7c, 0x6d, 0x94, 0x5f, 0x52, 0x44, 0x54, 0xe3, 0xf1, 0xb2, 0xb0, 0x36, 0x46, 0x0f, 0xae, 0x92, 0xe8, 0x70, 0x9d, 0x6e, 0x79, 0xb1, 0xad, 0x37, 0xa9, 0x5f, 0xc0, 0xde, 0x03}} , 1644 {{0x15, 0x55, 0x37, 0xc6, 0x1c, 0x27, 0x1c, 0x6d, 0x14, 0x4f, 0xca, 0xa4, 0xc4, 0x88, 0x25, 0x46, 0x39, 0xfc, 0x5a, 0xe5, 0xfe, 0x29, 0x11, 0x69, 0xf5, 0x72, 0x84, 0x4d, 0x78, 0x9f, 0x94, 0x15}}}, 1645 {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 1646 {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}, 1647 {{{0xec, 0xd3, 0xff, 0x57, 0x0b, 0xb0, 0xb2, 0xdc, 0xf8, 0x4f, 0xe2, 0x12, 0xd5, 0x36, 0xbe, 0x6b, 0x09, 0x43, 0x6d, 0xa3, 0x4d, 0x90, 0x2d, 0xb8, 0x74, 0xe8, 0x71, 0x45, 0x19, 0x8b, 0x0c, 0x6a}} , 1648 {{0xb8, 0x42, 0x1c, 0x03, 0xad, 0x2c, 0x03, 0x8e, 0xac, 0xd7, 0x98, 0x29, 0x13, 0xc6, 0x02, 0x29, 0xb5, 0xd4, 0xe7, 0xcf, 0xcc, 0x8b, 0x83, 0xec, 0x35, 0xc7, 0x9c, 0x74, 0xb7, 0xad, 0x85, 0x5f}}}, 1649 {{{0x78, 0x84, 0xe1, 0x56, 0x45, 0x69, 0x68, 0x5a, 0x4f, 0xb8, 0xb1, 0x29, 0xff, 0x33, 0x03, 0x31, 0xb7, 0xcb, 0x96, 0x25, 0xe6, 0xe6, 0x41, 0x98, 0x1a, 0xbb, 0x03, 0x56, 0xf2, 0xb2, 0x91, 0x34}} , 1650 {{0x2c, 0x6c, 0xf7, 0x66, 0xa4, 0x62, 0x6b, 0x39, 0xb3, 0xba, 0x65, 0xd3, 0x1c, 0xf8, 0x11, 0xaa, 0xbe, 0xdc, 0x80, 0x59, 0x87, 0xf5, 0x7b, 0xe5, 0xe3, 0xb3, 0x3e, 0x39, 0xda, 0xbe, 0x88, 0x09}}}, 1651 {{{0x8b, 0xf1, 0xa0, 0xf5, 0xdc, 0x29, 0xb4, 0xe2, 0x07, 0xc6, 0x7a, 0x00, 0xd0, 0x89, 0x17, 0x51, 0xd4, 0xbb, 0xd4, 0x22, 0xea, 0x7e, 0x7d, 0x7c, 0x24, 0xea, 0xf2, 0xe8, 0x22, 0x12, 0x95, 0x06}} , 1652 {{0xda, 0x7c, 0xa4, 0x0c, 0xf4, 0xba, 0x6e, 0xe1, 0x89, 0xb5, 0x59, 0xca, 0xf1, 0xc0, 0x29, 0x36, 0x09, 0x44, 0xe2, 0x7f, 0xd1, 0x63, 0x15, 0x99, 0xea, 0x25, 0xcf, 0x0c, 0x9d, 0xc0, 0x44, 0x6f}}}, 1653 {{{0x1d, 0x86, 0x4e, 0xcf, 0xf7, 0x37, 0x10, 0x25, 0x8f, 0x12, 0xfb, 0x19, 0xfb, 0xe0, 0xed, 0x10, 0xc8, 0xe2, 0xf5, 0x75, 0xb1, 0x33, 0xc0, 0x96, 0x0d, 0xfb, 0x15, 0x6c, 0x0d, 0x07, 0x5f, 0x05}} , 1654 {{0x69, 0x3e, 0x47, 0x97, 0x2c, 0xaf, 0x52, 0x7c, 0x78, 0x83, 0xad, 0x1b, 0x39, 0x82, 0x2f, 0x02, 0x6f, 0x47, 0xdb, 0x2a, 0xb0, 0xe1, 0x91, 0x99, 0x55, 0xb8, 0x99, 0x3a, 0xa0, 0x44, 0x11, 0x51}}} 1655 }; 1656 1657 static void p1p1_to_p2(ge25519_p2 *r, const ge25519_p1p1 *p) 1658 { 1659 fe25519_mul(&r->x, &p->x, &p->t); 1660 fe25519_mul(&r->y, &p->y, &p->z); 1661 fe25519_mul(&r->z, &p->z, &p->t); 1662 } 1663 1664 static void p1p1_to_p3(ge25519_p3 *r, const ge25519_p1p1 *p) 1665 { 1666 p1p1_to_p2((ge25519_p2 *)r, p); 1667 fe25519_mul(&r->t, &p->x, &p->y); 1668 } 1669 1670 static void ge25519_mixadd2(ge25519_p3 *r, const ge25519_aff *q) 1671 { 1672 fe25519 a,b,t1,t2,c,d,e,f,g,h,qt; 1673 fe25519_mul(&qt, &q->x, &q->y); 1674 fe25519_sub(&a, &r->y, &r->x); /* A = (Y1-X1)*(Y2-X2) */ 1675 fe25519_add(&b, &r->y, &r->x); /* B = (Y1+X1)*(Y2+X2) */ 1676 fe25519_sub(&t1, &q->y, &q->x); 1677 fe25519_add(&t2, &q->y, &q->x); 1678 fe25519_mul(&a, &a, &t1); 1679 fe25519_mul(&b, &b, &t2); 1680 fe25519_sub(&e, &b, &a); /* E = B-A */ 1681 fe25519_add(&h, &b, &a); /* H = B+A */ 1682 fe25519_mul(&c, &r->t, &qt); /* C = T1*k*T2 */ 1683 fe25519_mul(&c, &c, &ge25519_ec2d); 1684 fe25519_add(&d, &r->z, &r->z); /* D = Z1*2 */ 1685 fe25519_sub(&f, &d, &c); /* F = D-C */ 1686 fe25519_add(&g, &d, &c); /* G = D+C */ 1687 fe25519_mul(&r->x, &e, &f); 1688 fe25519_mul(&r->y, &h, &g); 1689 fe25519_mul(&r->z, &g, &f); 1690 fe25519_mul(&r->t, &e, &h); 1691 } 1692 1693 static void add_p1p1(ge25519_p1p1 *r, const ge25519_p3 *p, const ge25519_p3 *q) 1694 { 1695 fe25519 a, b, c, d, t; 1696 1697 fe25519_sub(&a, &p->y, &p->x); /* A = (Y1-X1)*(Y2-X2) */ 1698 fe25519_sub(&t, &q->y, &q->x); 1699 fe25519_mul(&a, &a, &t); 1700 fe25519_add(&b, &p->x, &p->y); /* B = (Y1+X1)*(Y2+X2) */ 1701 fe25519_add(&t, &q->x, &q->y); 1702 fe25519_mul(&b, &b, &t); 1703 fe25519_mul(&c, &p->t, &q->t); /* C = T1*k*T2 */ 1704 fe25519_mul(&c, &c, &ge25519_ec2d); 1705 fe25519_mul(&d, &p->z, &q->z); /* D = Z1*2*Z2 */ 1706 fe25519_add(&d, &d, &d); 1707 fe25519_sub(&r->x, &b, &a); /* E = B-A */ 1708 fe25519_sub(&r->t, &d, &c); /* F = D-C */ 1709 fe25519_add(&r->z, &d, &c); /* G = D+C */ 1710 fe25519_add(&r->y, &b, &a); /* H = B+A */ 1711 } 1712 1713 /* See http://www.hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#doubling-dbl-2008-hwcd */ 1714 static void dbl_p1p1(ge25519_p1p1 *r, const ge25519_p2 *p) 1715 { 1716 fe25519 a,b,c,d; 1717 fe25519_square(&a, &p->x); 1718 fe25519_square(&b, &p->y); 1719 fe25519_square(&c, &p->z); 1720 fe25519_add(&c, &c, &c); 1721 fe25519_neg(&d, &a); 1722 1723 fe25519_add(&r->x, &p->x, &p->y); 1724 fe25519_square(&r->x, &r->x); 1725 fe25519_sub(&r->x, &r->x, &a); 1726 fe25519_sub(&r->x, &r->x, &b); 1727 fe25519_add(&r->z, &d, &b); 1728 fe25519_sub(&r->t, &r->z, &c); 1729 fe25519_sub(&r->y, &d, &b); 1730 } 1731 1732 /* Constant-time version of: if(b) r = p */ 1733 static void cmov_aff(ge25519_aff *r, const ge25519_aff *p, unsigned char b) 1734 { 1735 fe25519_cmov(&r->x, &p->x, b); 1736 fe25519_cmov(&r->y, &p->y, b); 1737 } 1738 1739 static unsigned char equal(signed char b,signed char c) 1740 { 1741 unsigned char ub = b; 1742 unsigned char uc = c; 1743 unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ 1744 crypto_uint32 y = x; /* 0: yes; 1..255: no */ 1745 y -= 1; /* 4294967295: yes; 0..254: no */ 1746 y >>= 31; /* 1: yes; 0: no */ 1747 return y; 1748 } 1749 1750 static unsigned char negative(signed char b) 1751 { 1752 unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ 1753 x >>= 63; /* 1: yes; 0: no */ 1754 return x; 1755 } 1756 1757 static void choose_t(ge25519_aff *t, unsigned long long pos, signed char b) 1758 { 1759 /* constant time */ 1760 fe25519 v; 1761 *t = ge25519_base_multiples_affine[5*pos+0]; 1762 cmov_aff(t, &ge25519_base_multiples_affine[5*pos+1],equal(b,1) | equal(b,-1)); 1763 cmov_aff(t, &ge25519_base_multiples_affine[5*pos+2],equal(b,2) | equal(b,-2)); 1764 cmov_aff(t, &ge25519_base_multiples_affine[5*pos+3],equal(b,3) | equal(b,-3)); 1765 cmov_aff(t, &ge25519_base_multiples_affine[5*pos+4],equal(b,-4)); 1766 fe25519_neg(&v, &t->x); 1767 fe25519_cmov(&t->x, &v, negative(b)); 1768 } 1769 1770 static void setneutral(ge25519 *r) 1771 { 1772 fe25519_setzero(&r->x); 1773 fe25519_setone(&r->y); 1774 fe25519_setone(&r->z); 1775 fe25519_setzero(&r->t); 1776 } 1777 1778 /* ******************************************************************** 1779 * EXPORTED FUNCTIONS 1780 ******************************************************************** */ 1781 1782 /* return 0 on success, -1 otherwise */ 1783 int ge25519_unpackneg_vartime(ge25519_p3 *r, const unsigned char p[32]) 1784 { 1785 unsigned char par; 1786 fe25519 t, chk, num, den, den2, den4, den6; 1787 fe25519_setone(&r->z); 1788 par = p[31] >> 7; 1789 fe25519_unpack(&r->y, p); 1790 fe25519_square(&num, &r->y); /* x = y^2 */ 1791 fe25519_mul(&den, &num, &ge25519_ecd); /* den = dy^2 */ 1792 fe25519_sub(&num, &num, &r->z); /* x = y^2-1 */ 1793 fe25519_add(&den, &r->z, &den); /* den = dy^2+1 */ 1794 1795 /* Computation of sqrt(num/den) */ 1796 /* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */ 1797 fe25519_square(&den2, &den); 1798 fe25519_square(&den4, &den2); 1799 fe25519_mul(&den6, &den4, &den2); 1800 fe25519_mul(&t, &den6, &num); 1801 fe25519_mul(&t, &t, &den); 1802 1803 fe25519_pow2523(&t, &t); 1804 /* 2. computation of r->x = t * num * den^3 */ 1805 fe25519_mul(&t, &t, &num); 1806 fe25519_mul(&t, &t, &den); 1807 fe25519_mul(&t, &t, &den); 1808 fe25519_mul(&r->x, &t, &den); 1809 1810 /* 3. Check whether sqrt computation gave correct result, multiply by sqrt(-1) if not: */ 1811 fe25519_square(&chk, &r->x); 1812 fe25519_mul(&chk, &chk, &den); 1813 if (!fe25519_iseq_vartime(&chk, &num)) 1814 fe25519_mul(&r->x, &r->x, &ge25519_sqrtm1); 1815 1816 /* 4. Now we have one of the two square roots, except if input was not a square */ 1817 fe25519_square(&chk, &r->x); 1818 fe25519_mul(&chk, &chk, &den); 1819 if (!fe25519_iseq_vartime(&chk, &num)) 1820 return -1; 1821 1822 /* 5. Choose the desired square root according to parity: */ 1823 if(fe25519_getparity(&r->x) != (1-par)) 1824 fe25519_neg(&r->x, &r->x); 1825 1826 fe25519_mul(&r->t, &r->x, &r->y); 1827 return 0; 1828 } 1829 1830 static void ge25519_pack(unsigned char r[32], const ge25519_p3 *p) 1831 { 1832 fe25519 tx, ty, zi; 1833 fe25519_invert(&zi, &p->z); 1834 fe25519_mul(&tx, &p->x, &zi); 1835 fe25519_mul(&ty, &p->y, &zi); 1836 fe25519_pack(r, &ty); 1837 r[31] ^= fe25519_getparity(&tx) << 7; 1838 } 1839 1840 int ge25519_isneutral_vartime(const ge25519_p3 *p) 1841 { 1842 int ret = 1; 1843 if(!fe25519_iszero(&p->x)) ret = 0; 1844 if(!fe25519_iseq_vartime(&p->y, &p->z)) ret = 0; 1845 return ret; 1846 } 1847 1848 /* computes [s1]p1 + [s2]p2 */ 1849 static void ge25519_double_scalarmult_vartime(ge25519_p3 *r, const ge25519_p3 *p1, const sc25519 *s1, const ge25519_p3 *p2, const sc25519 *s2) 1850 { 1851 ge25519_p1p1 tp1p1; 1852 ge25519_p3 pre[16]; 1853 unsigned char b[127]; 1854 int i; 1855 1856 /* precomputation s2 s1 */ 1857 setneutral(pre); /* 00 00 */ 1858 pre[1] = *p1; /* 00 01 */ 1859 dbl_p1p1(&tp1p1,(ge25519_p2 *)p1); p1p1_to_p3( &pre[2], &tp1p1); /* 00 10 */ 1860 add_p1p1(&tp1p1,&pre[1], &pre[2]); p1p1_to_p3( &pre[3], &tp1p1); /* 00 11 */ 1861 pre[4] = *p2; /* 01 00 */ 1862 add_p1p1(&tp1p1,&pre[1], &pre[4]); p1p1_to_p3( &pre[5], &tp1p1); /* 01 01 */ 1863 add_p1p1(&tp1p1,&pre[2], &pre[4]); p1p1_to_p3( &pre[6], &tp1p1); /* 01 10 */ 1864 add_p1p1(&tp1p1,&pre[3], &pre[4]); p1p1_to_p3( &pre[7], &tp1p1); /* 01 11 */ 1865 dbl_p1p1(&tp1p1,(ge25519_p2 *)p2); p1p1_to_p3( &pre[8], &tp1p1); /* 10 00 */ 1866 add_p1p1(&tp1p1,&pre[1], &pre[8]); p1p1_to_p3( &pre[9], &tp1p1); /* 10 01 */ 1867 dbl_p1p1(&tp1p1,(ge25519_p2 *)&pre[5]); p1p1_to_p3(&pre[10], &tp1p1); /* 10 10 */ 1868 add_p1p1(&tp1p1,&pre[3], &pre[8]); p1p1_to_p3(&pre[11], &tp1p1); /* 10 11 */ 1869 add_p1p1(&tp1p1,&pre[4], &pre[8]); p1p1_to_p3(&pre[12], &tp1p1); /* 11 00 */ 1870 add_p1p1(&tp1p1,&pre[1],&pre[12]); p1p1_to_p3(&pre[13], &tp1p1); /* 11 01 */ 1871 add_p1p1(&tp1p1,&pre[2],&pre[12]); p1p1_to_p3(&pre[14], &tp1p1); /* 11 10 */ 1872 add_p1p1(&tp1p1,&pre[3],&pre[12]); p1p1_to_p3(&pre[15], &tp1p1); /* 11 11 */ 1873 1874 sc25519_2interleave2(b,s1,s2); 1875 1876 /* scalar multiplication */ 1877 *r = pre[b[126]]; 1878 for(i=125;i>=0;i--) 1879 { 1880 dbl_p1p1(&tp1p1, (ge25519_p2 *)r); 1881 p1p1_to_p2((ge25519_p2 *) r, &tp1p1); 1882 dbl_p1p1(&tp1p1, (ge25519_p2 *)r); 1883 if(b[i]!=0) 1884 { 1885 p1p1_to_p3(r, &tp1p1); 1886 add_p1p1(&tp1p1, r, &pre[b[i]]); 1887 } 1888 if(i != 0) p1p1_to_p2((ge25519_p2 *)r, &tp1p1); 1889 else p1p1_to_p3(r, &tp1p1); 1890 } 1891 } 1892 1893 static void ge25519_scalarmult_base(ge25519_p3 *r, const sc25519 *s) 1894 { 1895 signed char b[85]; 1896 int i; 1897 ge25519_aff t; 1898 sc25519_window3(b,s); 1899 1900 choose_t((ge25519_aff *)r, 0, b[0]); 1901 fe25519_setone(&r->z); 1902 fe25519_mul(&r->t, &r->x, &r->y); 1903 for(i=1;i<85;i++) 1904 { 1905 choose_t(&t, (unsigned long long) i, b[i]); 1906 ge25519_mixadd2(r, &t); 1907 } 1908 } 1909 /* from supercop-20221122/crypto_sign/ed25519/ref/keypair.c */ 1910 1911 int crypto_sign_ed25519_keypair(unsigned char *pk,unsigned char *sk) 1912 { 1913 unsigned char az[64]; 1914 sc25519 scsk; 1915 ge25519 gepk; 1916 1917 randombytes(sk,32); 1918 crypto_hash_sha512(az,sk,32); 1919 az[0] &= 248; 1920 az[31] &= 127; 1921 az[31] |= 64; 1922 1923 sc25519_from32bytes(&scsk,az); 1924 1925 ge25519_scalarmult_base(&gepk, &scsk); 1926 ge25519_pack(pk, &gepk); 1927 memmove(sk + 32,pk,32); 1928 return 0; 1929 } 1930 /* from supercop-20221122/crypto_sign/ed25519/ref/sign.c */ 1931 1932 int crypto_sign_ed25519( 1933 unsigned char *sm,unsigned long long *smlen, 1934 const unsigned char *m,unsigned long long mlen, 1935 const unsigned char *sk 1936 ) 1937 { 1938 unsigned char pk[32]; 1939 unsigned char az[64]; 1940 unsigned char nonce[64]; 1941 unsigned char hram[64]; 1942 sc25519 sck, scs, scsk; 1943 ge25519 ger; 1944 1945 memmove(pk,sk + 32,32); 1946 /* pk: 32-byte public key A */ 1947 1948 crypto_hash_sha512(az,sk,32); 1949 az[0] &= 248; 1950 az[31] &= 127; 1951 az[31] |= 64; 1952 /* az: 32-byte scalar a, 32-byte randomizer z */ 1953 1954 *smlen = mlen + 64; 1955 memmove(sm + 64,m,mlen); 1956 memmove(sm + 32,az + 32,32); 1957 /* sm: 32-byte uninit, 32-byte z, mlen-byte m */ 1958 1959 crypto_hash_sha512(nonce, sm+32, mlen+32); 1960 /* nonce: 64-byte H(z,m) */ 1961 1962 sc25519_from64bytes(&sck, nonce); 1963 ge25519_scalarmult_base(&ger, &sck); 1964 ge25519_pack(sm, &ger); 1965 /* sm: 32-byte R, 32-byte z, mlen-byte m */ 1966 1967 memmove(sm + 32,pk,32); 1968 /* sm: 32-byte R, 32-byte A, mlen-byte m */ 1969 1970 crypto_hash_sha512(hram,sm,mlen + 64); 1971 /* hram: 64-byte H(R,A,m) */ 1972 1973 sc25519_from64bytes(&scs, hram); 1974 sc25519_from32bytes(&scsk, az); 1975 sc25519_mul(&scs, &scs, &scsk); 1976 sc25519_add(&scs, &scs, &sck); 1977 /* scs: S = nonce + H(R,A,m)a */ 1978 1979 sc25519_to32bytes(sm + 32,&scs); 1980 /* sm: 32-byte R, 32-byte S, mlen-byte m */ 1981 1982 return 0; 1983 } 1984 /* from supercop-20221122/crypto_sign/ed25519/ref/open.c */ 1985 1986 int crypto_sign_ed25519_open( 1987 unsigned char *m,unsigned long long *mlen, 1988 const unsigned char *sm,unsigned long long smlen, 1989 const unsigned char *pk 1990 ) 1991 { 1992 unsigned char pkcopy[32]; 1993 unsigned char rcopy[32]; 1994 unsigned char hram[64]; 1995 unsigned char rcheck[32]; 1996 ge25519 get1, get2; 1997 sc25519 schram, scs; 1998 1999 if (smlen < 64) goto badsig; 2000 if (sm[63] & 224) goto badsig; 2001 if (ge25519_unpackneg_vartime(&get1,pk)) goto badsig; 2002 2003 memmove(pkcopy,pk,32); 2004 memmove(rcopy,sm,32); 2005 2006 sc25519_from32bytes(&scs, sm+32); 2007 2008 memmove(m,sm,smlen); 2009 memmove(m + 32,pkcopy,32); 2010 crypto_hash_sha512(hram,m,smlen); 2011 2012 sc25519_from64bytes(&schram, hram); 2013 2014 ge25519_double_scalarmult_vartime(&get2, &get1, &schram, &ge25519_base, &scs); 2015 ge25519_pack(rcheck, &get2); 2016 2017 if (crypto_verify_32(rcopy,rcheck) == 0) { 2018 memmove(m,m + 64,smlen - 64); 2019 memset(m + smlen - 64,0,64); 2020 *mlen = smlen - 64; 2021 return 0; 2022 } 2023 2024 badsig: 2025 *mlen = (unsigned long long) -1; 2026 memset(m,0,smlen); 2027 return -1; 2028 } 2029